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Finding the Fourth Proportional to 6,700.02, 9,244.92 and 3,715.38

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Solution

The fourth proportional to 6,700.02, 9,244.92 and 3,715.38 is: 5,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.02 : 9,244.92 = 3,715.38 : x
  2. Step 2: Convert to fraction form
    6,700.02/9,244.92 = 3,715.38/x
  3. Step 3: Cross multiply
    6,700.02x = 9,244.92 × 3,715.38
  4. Step 4: Simplify right side
    6,700.02x = 34,348,390.87
  5. Step 5: Solve for x
    x = 34,348,390.87/6,700.02
  6. Step 6: Final answer
    x = 5,126.61

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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.