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Finding the Fourth Proportional to 7,882.52, 10,876.88 and 4,524.86

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Solution

The fourth proportional to 7,882.52, 10,876.88 and 4,524.86 is: 6,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.52 : 10,876.88 = 4,524.86 : x
  2. Step 2: Convert to fraction form
    7,882.52/10,876.88 = 4,524.86/x
  3. Step 3: Cross multiply
    7,882.52x = 10,876.88 × 4,524.86
  4. Step 4: Simplify right side
    7,882.52x = 49,216,397.74
  5. Step 5: Solve for x
    x = 49,216,397.74/7,882.52
  6. Step 6: Final answer
    x = 6,243.74

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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.