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Finding the Fourth Proportional to 17,142.10, 25,712.06 and 5,463.70

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Solution

The fourth proportional to 17,142.10, 25,712.06 and 5,463.70 is: 8,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.10 : 25,712.06 = 5,463.70 : x
  2. Step 2: Convert to fraction form
    17,142.10/25,712.06 = 5,463.70/x
  3. Step 3: Cross multiply
    17,142.10x = 25,712.06 × 5,463.70
  4. Step 4: Simplify right side
    17,142.10x = 140,482,982.22
  5. Step 5: Solve for x
    x = 140,482,982.22/17,142.10
  6. Step 6: Final answer
    x = 8,195.20

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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.