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Finding the Fourth Proportional to 6,233.46, 8,584.66 and 6,097.38

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Solution

The fourth proportional to 6,233.46, 8,584.66 and 6,097.38 is: 8,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.46 : 8,584.66 = 6,097.38 : x
  2. Step 2: Convert to fraction form
    6,233.46/8,584.66 = 6,097.38/x
  3. Step 3: Cross multiply
    6,233.46x = 8,584.66 × 6,097.38
  4. Step 4: Simplify right side
    6,233.46x = 52,343,934.19
  5. Step 5: Solve for x
    x = 52,343,934.19/6,233.46
  6. Step 6: Final answer
    x = 8,397.25

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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.