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Finding the Fourth Proportional to 7,548.39, 10,414.62 and 4,562.06

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Solution

The fourth proportional to 7,548.39, 10,414.62 and 4,562.06 is: 6,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.39 : 10,414.62 = 4,562.06 : x
  2. Step 2: Convert to fraction form
    7,548.39/10,414.62 = 4,562.06/x
  3. Step 3: Cross multiply
    7,548.39x = 10,414.62 × 4,562.06
  4. Step 4: Simplify right side
    7,548.39x = 47,512,069.24
  5. Step 5: Solve for x
    x = 47,512,069.24/7,548.39
  6. Step 6: Final answer
    x = 6,294.33

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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.