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Finding the Fourth Proportional to 16,049.98, 24,079.07 and 6,186.61

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Solution

The fourth proportional to 16,049.98, 24,079.07 and 6,186.61 is: 9,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.98 : 24,079.07 = 6,186.61 : x
  2. Step 2: Convert to fraction form
    16,049.98/24,079.07 = 6,186.61/x
  3. Step 3: Cross multiply
    16,049.98x = 24,079.07 × 6,186.61
  4. Step 4: Simplify right side
    16,049.98x = 148,967,860.82
  5. Step 5: Solve for x
    x = 148,967,860.82/16,049.98
  6. Step 6: Final answer
    x = 9,281.50

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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.