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Finding the Fourth Proportional to 16,574.96, 24,864.16 and 5,327.44

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Solution

The fourth proportional to 16,574.96, 24,864.16 and 5,327.44 is: 7,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.96 : 24,864.16 = 5,327.44 : x
  2. Step 2: Convert to fraction form
    16,574.96/24,864.16 = 5,327.44/x
  3. Step 3: Cross multiply
    16,574.96x = 24,864.16 × 5,327.44
  4. Step 4: Simplify right side
    16,574.96x = 132,462,320.55
  5. Step 5: Solve for x
    x = 132,462,320.55/16,574.96
  6. Step 6: Final answer
    x = 7,991.71

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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.