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Finding the Fourth Proportional to 5,174.61, 7,143.04 and 5,098.68

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Solution

The fourth proportional to 5,174.61, 7,143.04 and 5,098.68 is: 7,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.61 : 7,143.04 = 5,098.68 : x
  2. Step 2: Convert to fraction form
    5,174.61/7,143.04 = 5,098.68/x
  3. Step 3: Cross multiply
    5,174.61x = 7,143.04 × 5,098.68
  4. Step 4: Simplify right side
    5,174.61x = 36,420,013.98
  5. Step 5: Solve for x
    x = 36,420,013.98/5,174.61
  6. Step 6: Final answer
    x = 7,038.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.