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Finding the Fourth Proportional to 5,902.67, 8,854.96 and 1,743.10

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Solution

The fourth proportional to 5,902.67, 8,854.96 and 1,743.10 is: 2,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.67 : 8,854.96 = 1,743.10 : x
  2. Step 2: Convert to fraction form
    5,902.67/8,854.96 = 1,743.10/x
  3. Step 3: Cross multiply
    5,902.67x = 8,854.96 × 1,743.10
  4. Step 4: Simplify right side
    5,902.67x = 15,435,059.90
  5. Step 5: Solve for x
    x = 15,435,059.90/5,902.67
  6. Step 6: Final answer
    x = 2,614.93

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1.5x scale

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.