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Finding the Fourth Proportional to 10,502.92, 15,753.46 and 3,480.62

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Solution

The fourth proportional to 10,502.92, 15,753.46 and 3,480.62 is: 5,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.92 : 15,753.46 = 3,480.62 : x
  2. Step 2: Convert to fraction form
    10,502.92/15,753.46 = 3,480.62/x
  3. Step 3: Cross multiply
    10,502.92x = 15,753.46 × 3,480.62
  4. Step 4: Simplify right side
    10,502.92x = 54,831,825.40
  5. Step 5: Solve for x
    x = 54,831,825.40/10,502.92
  6. Step 6: Final answer
    x = 5,220.63

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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.