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Finding the Fourth Proportional to 22,901.64, 34,365.42 and 9,752.64

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Solution

The fourth proportional to 22,901.64, 34,365.42 and 9,752.64 is: 14,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.64 : 34,365.42 = 9,752.64 : x
  2. Step 2: Convert to fraction form
    22,901.64/34,365.42 = 9,752.64/x
  3. Step 3: Cross multiply
    22,901.64x = 34,365.42 × 9,752.64
  4. Step 4: Simplify right side
    22,901.64x = 335,153,569.71
  5. Step 5: Solve for x
    x = 335,153,569.71/22,901.64
  6. Step 6: Final answer
    x = 14,634.48

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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.