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Finding the Fourth Proportional to 11,384.76, 15,726.48 and 9,635.16

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Solution

The fourth proportional to 11,384.76, 15,726.48 and 9,635.16 is: 13,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.76 : 15,726.48 = 9,635.16 : x
  2. Step 2: Convert to fraction form
    11,384.76/15,726.48 = 9,635.16/x
  3. Step 3: Cross multiply
    11,384.76x = 15,726.48 × 9,635.16
  4. Step 4: Simplify right side
    11,384.76x = 151,527,151.04
  5. Step 5: Solve for x
    x = 151,527,151.04/11,384.76
  6. Step 6: Final answer
    x = 13,309.65

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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.