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Finding the Fourth Proportional to 15,965.69, 22,032.65 and 9,255.21

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Solution

The fourth proportional to 15,965.69, 22,032.65 and 9,255.21 is: 12,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.69 : 22,032.65 = 9,255.21 : x
  2. Step 2: Convert to fraction form
    15,965.69/22,032.65 = 9,255.21/x
  3. Step 3: Cross multiply
    15,965.69x = 22,032.65 × 9,255.21
  4. Step 4: Simplify right side
    15,965.69x = 203,916,646.17
  5. Step 5: Solve for x
    x = 203,916,646.17/15,965.69
  6. Step 6: Final answer
    x = 12,772.18

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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.