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Finding the Fourth Proportional to 6,253.92, 9,381.24 and 1,870.92

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Solution

The fourth proportional to 6,253.92, 9,381.24 and 1,870.92 is: 2,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.92 : 9,381.24 = 1,870.92 : x
  2. Step 2: Convert to fraction form
    6,253.92/9,381.24 = 1,870.92/x
  3. Step 3: Cross multiply
    6,253.92x = 9,381.24 × 1,870.92
  4. Step 4: Simplify right side
    6,253.92x = 17,551,549.54
  5. Step 5: Solve for x
    x = 17,551,549.54/6,253.92
  6. Step 6: Final answer
    x = 2,806.49

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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.