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Finding the Fourth Proportional to 10,471.20, 14,446.08 and 6,489.60

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Solution

The fourth proportional to 10,471.20, 14,446.08 and 6,489.60 is: 8,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.20 : 14,446.08 = 6,489.60 : x
  2. Step 2: Convert to fraction form
    10,471.20/14,446.08 = 6,489.60/x
  3. Step 3: Cross multiply
    10,471.20x = 14,446.08 × 6,489.60
  4. Step 4: Simplify right side
    10,471.20x = 93,749,280.77
  5. Step 5: Solve for x
    x = 93,749,280.77/10,471.20
  6. Step 6: Final answer
    x = 8,953.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.