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Finding the Fourth Proportional to 8,310.52, 11,463.42 and 5,659.12

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Solution

The fourth proportional to 8,310.52, 11,463.42 and 5,659.12 is: 7,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.52 : 11,463.42 = 5,659.12 : x
  2. Step 2: Convert to fraction form
    8,310.52/11,463.42 = 5,659.12/x
  3. Step 3: Cross multiply
    8,310.52x = 11,463.42 × 5,659.12
  4. Step 4: Simplify right side
    8,310.52x = 64,872,869.39
  5. Step 5: Solve for x
    x = 64,872,869.39/8,310.52
  6. Step 6: Final answer
    x = 7,806.11

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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.