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Finding the Fourth Proportional to 6,937.52, 10,400.06 and 2,551.91

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Solution

The fourth proportional to 6,937.52, 10,400.06 and 2,551.91 is: 3,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.52 : 10,400.06 = 2,551.91 : x
  2. Step 2: Convert to fraction form
    6,937.52/10,400.06 = 2,551.91/x
  3. Step 3: Cross multiply
    6,937.52x = 10,400.06 × 2,551.91
  4. Step 4: Simplify right side
    6,937.52x = 26,539,971.49
  5. Step 5: Solve for x
    x = 26,539,971.49/6,937.52
  6. Step 6: Final answer
    x = 3,825.57

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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.