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Finding the Fourth Proportional to 6,997.56, 10,492.31 and 3,480.41

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Solution

The fourth proportional to 6,997.56, 10,492.31 and 3,480.41 is: 5,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.56 : 10,492.31 = 3,480.41 : x
  2. Step 2: Convert to fraction form
    6,997.56/10,492.31 = 3,480.41/x
  3. Step 3: Cross multiply
    6,997.56x = 10,492.31 × 3,480.41
  4. Step 4: Simplify right side
    6,997.56x = 36,517,470.78
  5. Step 5: Solve for x
    x = 36,517,470.78/6,997.56
  6. Step 6: Final answer
    x = 5,218.60

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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.