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Finding the Fourth Proportional to 15,965.13, 22,031.92 and 9,252.06

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Solution

The fourth proportional to 15,965.13, 22,031.92 and 9,252.06 is: 12,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.13 : 22,031.92 = 9,252.06 : x
  2. Step 2: Convert to fraction form
    15,965.13/22,031.92 = 9,252.06/x
  3. Step 3: Cross multiply
    15,965.13x = 22,031.92 × 9,252.06
  4. Step 4: Simplify right side
    15,965.13x = 203,840,645.76
  5. Step 5: Solve for x
    x = 203,840,645.76/15,965.13
  6. Step 6: Final answer
    x = 12,767.87

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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.