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Finding the Fourth Proportional to 16,642.85, 24,957.74 and 6,778.58

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Solution

The fourth proportional to 16,642.85, 24,957.74 and 6,778.58 is: 10,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.85 : 24,957.74 = 6,778.58 : x
  2. Step 2: Convert to fraction form
    16,642.85/24,957.74 = 6,778.58/x
  3. Step 3: Cross multiply
    16,642.85x = 24,957.74 × 6,778.58
  4. Step 4: Simplify right side
    16,642.85x = 169,177,878.53
  5. Step 5: Solve for x
    x = 169,177,878.53/16,642.85
  6. Step 6: Final answer
    x = 10,165.20

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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.