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Finding the Fourth Proportional to 7,732.71, 11,599.07 and 4,291.83

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Solution

The fourth proportional to 7,732.71, 11,599.07 and 4,291.83 is: 6,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.71 : 11,599.07 = 4,291.83 : x
  2. Step 2: Convert to fraction form
    7,732.71/11,599.07 = 4,291.83/x
  3. Step 3: Cross multiply
    7,732.71x = 11,599.07 × 4,291.83
  4. Step 4: Simplify right side
    7,732.71x = 49,781,215.14
  5. Step 5: Solve for x
    x = 49,781,215.14/7,732.71
  6. Step 6: Final answer
    x = 6,437.75

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Similar ratio
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1.5x scale

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.