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Finding the Fourth Proportional to 6,754.18, 10,098 and 5,725.70

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Solution

The fourth proportional to 6,754.18, 10,098 and 5,725.70 is: 8,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.18 : 10,098 = 5,725.70 : x
  2. Step 2: Convert to fraction form
    6,754.18/10,098 = 5,725.70/x
  3. Step 3: Cross multiply
    6,754.18x = 10,098 × 5,725.70
  4. Step 4: Simplify right side
    6,754.18x = 57,818,118.60
  5. Step 5: Solve for x
    x = 57,818,118.60/6,754.18
  6. Step 6: Final answer
    x = 8,560.35

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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.