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Finding the Fourth Proportional to 10,975.28, 16,472.13 and 10,283.28

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Solution

The fourth proportional to 10,975.28, 16,472.13 and 10,283.28 is: 15,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.28 : 16,472.13 = 10,283.28 : x
  2. Step 2: Convert to fraction form
    10,975.28/16,472.13 = 10,283.28/x
  3. Step 3: Cross multiply
    10,975.28x = 16,472.13 × 10,283.28
  4. Step 4: Simplify right side
    10,975.28x = 169,387,524.99
  5. Step 5: Solve for x
    x = 169,387,524.99/10,975.28
  6. Step 6: Final answer
    x = 15,433.56

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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.