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Finding the Fourth Proportional to 6,267.76, 9,401.70 and 2,981.18

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Solution

The fourth proportional to 6,267.76, 9,401.70 and 2,981.18 is: 4,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.76 : 9,401.70 = 2,981.18 : x
  2. Step 2: Convert to fraction form
    6,267.76/9,401.70 = 2,981.18/x
  3. Step 3: Cross multiply
    6,267.76x = 9,401.70 × 2,981.18
  4. Step 4: Simplify right side
    6,267.76x = 28,028,160.01
  5. Step 5: Solve for x
    x = 28,028,160.01/6,267.76
  6. Step 6: Final answer
    x = 4,471.80

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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.