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Finding the Fourth Proportional to 16,585.82, 24,878.73 and 5,489.53

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Solution

The fourth proportional to 16,585.82, 24,878.73 and 5,489.53 is: 8,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.82 : 24,878.73 = 5,489.53 : x
  2. Step 2: Convert to fraction form
    16,585.82/24,878.73 = 5,489.53/x
  3. Step 3: Cross multiply
    16,585.82x = 24,878.73 × 5,489.53
  4. Step 4: Simplify right side
    16,585.82x = 136,572,534.70
  5. Step 5: Solve for x
    x = 136,572,534.70/16,585.82
  6. Step 6: Final answer
    x = 8,234.30

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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.