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Finding the Fourth Proportional to 9,082.71, 13,624.20 and 2,842.47

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Solution

The fourth proportional to 9,082.71, 13,624.20 and 2,842.47 is: 4,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.71 : 13,624.20 = 2,842.47 : x
  2. Step 2: Convert to fraction form
    9,082.71/13,624.20 = 2,842.47/x
  3. Step 3: Cross multiply
    9,082.71x = 13,624.20 × 2,842.47
  4. Step 4: Simplify right side
    9,082.71x = 38,726,379.77
  5. Step 5: Solve for x
    x = 38,726,379.77/9,082.71
  6. Step 6: Final answer
    x = 4,263.75

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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.