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Finding the Fourth Proportional to 10,471.68, 14,433.12 and 8,771.04

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Solution

The fourth proportional to 10,471.68, 14,433.12 and 8,771.04 is: 12,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.68 : 14,433.12 = 8,771.04 : x
  2. Step 2: Convert to fraction form
    10,471.68/14,433.12 = 8,771.04/x
  3. Step 3: Cross multiply
    10,471.68x = 14,433.12 × 8,771.04
  4. Step 4: Simplify right side
    10,471.68x = 126,593,472.84
  5. Step 5: Solve for x
    x = 126,593,472.84/10,471.68
  6. Step 6: Final answer
    x = 12,089.13

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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.