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Finding the Fourth Proportional to 7,494.75, 10,333.14 and 6,145.39

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Solution

The fourth proportional to 7,494.75, 10,333.14 and 6,145.39 is: 8,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.75 : 10,333.14 = 6,145.39 : x
  2. Step 2: Convert to fraction form
    7,494.75/10,333.14 = 6,145.39/x
  3. Step 3: Cross multiply
    7,494.75x = 10,333.14 × 6,145.39
  4. Step 4: Simplify right side
    7,494.75x = 63,501,149.39
  5. Step 5: Solve for x
    x = 63,501,149.39/7,494.75
  6. Step 6: Final answer
    x = 8,472.75

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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.