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Finding the Fourth Proportional to 8,463.76, 11,679.96 and 4,737.76

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Solution

The fourth proportional to 8,463.76, 11,679.96 and 4,737.76 is: 6,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.76 : 11,679.96 = 4,737.76 : x
  2. Step 2: Convert to fraction form
    8,463.76/11,679.96 = 4,737.76/x
  3. Step 3: Cross multiply
    8,463.76x = 11,679.96 × 4,737.76
  4. Step 4: Simplify right side
    8,463.76x = 55,336,847.29
  5. Step 5: Solve for x
    x = 55,336,847.29/8,463.76
  6. Step 6: Final answer
    x = 6,538.09

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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.