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Finding the Fourth Proportional to 6,937.58, 10,392.96 and 6,002

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Solution

The fourth proportional to 6,937.58, 10,392.96 and 6,002 is: 8,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.58 : 10,392.96 = 6,002 : x
  2. Step 2: Convert to fraction form
    6,937.58/10,392.96 = 6,002/x
  3. Step 3: Cross multiply
    6,937.58x = 10,392.96 × 6,002
  4. Step 4: Simplify right side
    6,937.58x = 62,378,545.92
  5. Step 5: Solve for x
    x = 62,378,545.92/6,937.58
  6. Step 6: Final answer
    x = 8,991.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.