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Finding the Fourth Proportional to 6,349.48, 8,737.68 and 5,857

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Solution

The fourth proportional to 6,349.48, 8,737.68 and 5,857 is: 8,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.48 : 8,737.68 = 5,857 : x
  2. Step 2: Convert to fraction form
    6,349.48/8,737.68 = 5,857/x
  3. Step 3: Cross multiply
    6,349.48x = 8,737.68 × 5,857
  4. Step 4: Simplify right side
    6,349.48x = 51,176,591.76
  5. Step 5: Solve for x
    x = 51,176,591.76/6,349.48
  6. Step 6: Final answer
    x = 8,059.97

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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.