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Finding the Fourth Proportional to 6,342.49, 9,500.19 and 5,151.16

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Solution

The fourth proportional to 6,342.49, 9,500.19 and 5,151.16 is: 7,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.49 : 9,500.19 = 5,151.16 : x
  2. Step 2: Convert to fraction form
    6,342.49/9,500.19 = 5,151.16/x
  3. Step 3: Cross multiply
    6,342.49x = 9,500.19 × 5,151.16
  4. Step 4: Simplify right side
    6,342.49x = 48,936,998.72
  5. Step 5: Solve for x
    x = 48,936,998.72/6,342.49
  6. Step 6: Final answer
    x = 7,715.74

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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.