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Finding the Fourth Proportional to 9,565.62, 13,189.14 and 8,237.04

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Solution

The fourth proportional to 9,565.62, 13,189.14 and 8,237.04 is: 11,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.62 : 13,189.14 = 8,237.04 : x
  2. Step 2: Convert to fraction form
    9,565.62/13,189.14 = 8,237.04/x
  3. Step 3: Cross multiply
    9,565.62x = 13,189.14 × 8,237.04
  4. Step 4: Simplify right side
    9,565.62x = 108,639,473.75
  5. Step 5: Solve for x
    x = 108,639,473.75/9,565.62
  6. Step 6: Final answer
    x = 11,357.29

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Half scale
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Double scale
Find fourth proportional to 9,566.62, 13,190.52 and 8,238.04
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.