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Finding the Fourth Proportional to 22,772.59, 34,163 and 10,298.48

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Solution

The fourth proportional to 22,772.59, 34,163 and 10,298.48 is: 15,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.59 : 34,163 = 10,298.48 : x
  2. Step 2: Convert to fraction form
    22,772.59/34,163 = 10,298.48/x
  3. Step 3: Cross multiply
    22,772.59x = 34,163 × 10,298.48
  4. Step 4: Simplify right side
    22,772.59x = 351,826,972.24
  5. Step 5: Solve for x
    x = 351,826,972.24/22,772.59
  6. Step 6: Final answer
    x = 15,449.58

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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.