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Finding the Fourth Proportional to 6,925.54, 10,382.16 and 2,542

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Solution

The fourth proportional to 6,925.54, 10,382.16 and 2,542 is: 3,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.54 : 10,382.16 = 2,542 : x
  2. Step 2: Convert to fraction form
    6,925.54/10,382.16 = 2,542/x
  3. Step 3: Cross multiply
    6,925.54x = 10,382.16 × 2,542
  4. Step 4: Simplify right side
    6,925.54x = 26,391,450.72
  5. Step 5: Solve for x
    x = 26,391,450.72/6,925.54
  6. Step 6: Final answer
    x = 3,810.74

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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.