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Finding the Fourth Proportional to 6,565.25, 9,847.88 and 1,948.25

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Solution

The fourth proportional to 6,565.25, 9,847.88 and 1,948.25 is: 2,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.25 : 9,847.88 = 1,948.25 : x
  2. Step 2: Convert to fraction form
    6,565.25/9,847.88 = 1,948.25/x
  3. Step 3: Cross multiply
    6,565.25x = 9,847.88 × 1,948.25
  4. Step 4: Simplify right side
    6,565.25x = 19,186,122.47
  5. Step 5: Solve for x
    x = 19,186,122.47/6,565.25
  6. Step 6: Final answer
    x = 2,922.38

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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.