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Finding the Fourth Proportional to 6,707.16, 9,253.55 and 3,912.66

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Solution

The fourth proportional to 6,707.16, 9,253.55 and 3,912.66 is: 5,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.16 : 9,253.55 = 3,912.66 : x
  2. Step 2: Convert to fraction form
    6,707.16/9,253.55 = 3,912.66/x
  3. Step 3: Cross multiply
    6,707.16x = 9,253.55 × 3,912.66
  4. Step 4: Simplify right side
    6,707.16x = 36,205,975.38
  5. Step 5: Solve for x
    x = 36,205,975.38/6,707.16
  6. Step 6: Final answer
    x = 5,398.11

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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.