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Finding the Fourth Proportional to 6,874, 10,312.76 and 2,257.04

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Solution

The fourth proportional to 6,874, 10,312.76 and 2,257.04 is: 3,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874 : 10,312.76 = 2,257.04 : x
  2. Step 2: Convert to fraction form
    6,874/10,312.76 = 2,257.04/x
  3. Step 3: Cross multiply
    6,874x = 10,312.76 × 2,257.04
  4. Step 4: Simplify right side
    6,874x = 23,276,311.83
  5. Step 5: Solve for x
    x = 23,276,311.83/6,874
  6. Step 6: Final answer
    x = 3,386.14

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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.