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Finding the Fourth Proportional to 16,585.68, 24,873.24 and 5,489.76

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Solution

The fourth proportional to 16,585.68, 24,873.24 and 5,489.76 is: 8,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.68 : 24,873.24 = 5,489.76 : x
  2. Step 2: Convert to fraction form
    16,585.68/24,873.24 = 5,489.76/x
  3. Step 3: Cross multiply
    16,585.68x = 24,873.24 × 5,489.76
  4. Step 4: Simplify right side
    16,585.68x = 136,548,118.02
  5. Step 5: Solve for x
    x = 136,548,118.02/16,585.68
  6. Step 6: Final answer
    x = 8,232.89

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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.