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Finding the Fourth Proportional to 6,981.80, 10,472.70 and 4,017.20

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Solution

The fourth proportional to 6,981.80, 10,472.70 and 4,017.20 is: 6,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.80 : 10,472.70 = 4,017.20 : x
  2. Step 2: Convert to fraction form
    6,981.80/10,472.70 = 4,017.20/x
  3. Step 3: Cross multiply
    6,981.80x = 10,472.70 × 4,017.20
  4. Step 4: Simplify right side
    6,981.80x = 42,070,930.44
  5. Step 5: Solve for x
    x = 42,070,930.44/6,981.80
  6. Step 6: Final answer
    x = 6,025.80

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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.