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Finding the Fourth Proportional to 23,952.71, 35,929.07 and 9,166.16

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Solution

The fourth proportional to 23,952.71, 35,929.07 and 9,166.16 is: 13,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.71 : 35,929.07 = 9,166.16 : x
  2. Step 2: Convert to fraction form
    23,952.71/35,929.07 = 9,166.16/x
  3. Step 3: Cross multiply
    23,952.71x = 35,929.07 × 9,166.16
  4. Step 4: Simplify right side
    23,952.71x = 329,331,378.80
  5. Step 5: Solve for x
    x = 329,331,378.80/23,952.71
  6. Step 6: Final answer
    x = 13,749.24

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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.