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Finding the Fourth Proportional to 16,165.98, 24,248.70 and 7,844.58

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Solution

The fourth proportional to 16,165.98, 24,248.70 and 7,844.58 is: 11,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.98 : 24,248.70 = 7,844.58 : x
  2. Step 2: Convert to fraction form
    16,165.98/24,248.70 = 7,844.58/x
  3. Step 3: Cross multiply
    16,165.98x = 24,248.70 × 7,844.58
  4. Step 4: Simplify right side
    16,165.98x = 190,220,867.05
  5. Step 5: Solve for x
    x = 190,220,867.05/16,165.98
  6. Step 6: Final answer
    x = 11,766.74

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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.