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Finding the Fourth Proportional to 6,292.48, 9,438.72 and 6,189.06

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Solution

The fourth proportional to 6,292.48, 9,438.72 and 6,189.06 is: 9,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.48 : 9,438.72 = 6,189.06 : x
  2. Step 2: Convert to fraction form
    6,292.48/9,438.72 = 6,189.06/x
  3. Step 3: Cross multiply
    6,292.48x = 9,438.72 × 6,189.06
  4. Step 4: Simplify right side
    6,292.48x = 58,416,804.40
  5. Step 5: Solve for x
    x = 58,416,804.40/6,292.48
  6. Step 6: Final answer
    x = 9,283.59

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.