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Finding the Fourth Proportional to 10,711.74, 14,781.74 and 5,932.11

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Solution

The fourth proportional to 10,711.74, 14,781.74 and 5,932.11 is: 8,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.74 : 14,781.74 = 5,932.11 : x
  2. Step 2: Convert to fraction form
    10,711.74/14,781.74 = 5,932.11/x
  3. Step 3: Cross multiply
    10,711.74x = 14,781.74 × 5,932.11
  4. Step 4: Simplify right side
    10,711.74x = 87,686,878.01
  5. Step 5: Solve for x
    x = 87,686,878.01/10,711.74
  6. Step 6: Final answer
    x = 8,186.05

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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.