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Finding the Fourth Proportional to 11,409.60, 15,713.68 and 10,593.12

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Solution

The fourth proportional to 11,409.60, 15,713.68 and 10,593.12 is: 14,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.60 : 15,713.68 = 10,593.12 : x
  2. Step 2: Convert to fraction form
    11,409.60/15,713.68 = 10,593.12/x
  3. Step 3: Cross multiply
    11,409.60x = 15,713.68 × 10,593.12
  4. Step 4: Simplify right side
    11,409.60x = 166,456,897.88
  5. Step 5: Solve for x
    x = 166,456,897.88/11,409.60
  6. Step 6: Final answer
    x = 14,589.20

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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.