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Finding the Fourth Proportional to 16,545.10, 24,797.31 and 7,648.40

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Solution

The fourth proportional to 16,545.10, 24,797.31 and 7,648.40 is: 11,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.10 : 24,797.31 = 7,648.40 : x
  2. Step 2: Convert to fraction form
    16,545.10/24,797.31 = 7,648.40/x
  3. Step 3: Cross multiply
    16,545.10x = 24,797.31 × 7,648.40
  4. Step 4: Simplify right side
    16,545.10x = 189,659,621.82
  5. Step 5: Solve for x
    x = 189,659,621.82/16,545.10
  6. Step 6: Final answer
    x = 11,463.19

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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.