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Finding the Fourth Proportional to 4,474.07, 6,711.17 and 1,187.50

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Solution

The fourth proportional to 4,474.07, 6,711.17 and 1,187.50 is: 1,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.07 : 6,711.17 = 1,187.50 : x
  2. Step 2: Convert to fraction form
    4,474.07/6,711.17 = 1,187.50/x
  3. Step 3: Cross multiply
    4,474.07x = 6,711.17 × 1,187.50
  4. Step 4: Simplify right side
    4,474.07x = 7,969,514.38
  5. Step 5: Solve for x
    x = 7,969,514.38/4,474.07
  6. Step 6: Final answer
    x = 1,781.27

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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.