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Finding the Fourth Proportional to 16,381.34, 24,575.70 and 5,993

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Solution

The fourth proportional to 16,381.34, 24,575.70 and 5,993 is: 8,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.34 : 24,575.70 = 5,993 : x
  2. Step 2: Convert to fraction form
    16,381.34/24,575.70 = 5,993/x
  3. Step 3: Cross multiply
    16,381.34x = 24,575.70 × 5,993
  4. Step 4: Simplify right side
    16,381.34x = 147,282,170.10
  5. Step 5: Solve for x
    x = 147,282,170.10/16,381.34
  6. Step 6: Final answer
    x = 8,990.85

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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.