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Finding the Fourth Proportional to 15,866.17, 21,895.29 and 9,151.69

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Solution

The fourth proportional to 15,866.17, 21,895.29 and 9,151.69 is: 12,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.17 : 21,895.29 = 9,151.69 : x
  2. Step 2: Convert to fraction form
    15,866.17/21,895.29 = 9,151.69/x
  3. Step 3: Cross multiply
    15,866.17x = 21,895.29 × 9,151.69
  4. Step 4: Simplify right side
    15,866.17x = 200,378,906.54
  5. Step 5: Solve for x
    x = 200,378,906.54/15,866.17
  6. Step 6: Final answer
    x = 12,629.32

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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.