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Finding the Fourth Proportional to 16,097.28, 22,211.28 and 9,022.56

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Solution

The fourth proportional to 16,097.28, 22,211.28 and 9,022.56 is: 12,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.28 : 22,211.28 = 9,022.56 : x
  2. Step 2: Convert to fraction form
    16,097.28/22,211.28 = 9,022.56/x
  3. Step 3: Cross multiply
    16,097.28x = 22,211.28 × 9,022.56
  4. Step 4: Simplify right side
    16,097.28x = 200,402,606.48
  5. Step 5: Solve for x
    x = 200,402,606.48/16,097.28
  6. Step 6: Final answer
    x = 12,449.47

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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.