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Finding the Fourth Proportional to 11,114.61, 16,678.50 and 4,099.55

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Solution

The fourth proportional to 11,114.61, 16,678.50 and 4,099.55 is: 6,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.61 : 16,678.50 = 4,099.55 : x
  2. Step 2: Convert to fraction form
    11,114.61/16,678.50 = 4,099.55/x
  3. Step 3: Cross multiply
    11,114.61x = 16,678.50 × 4,099.55
  4. Step 4: Simplify right side
    11,114.61x = 68,374,245.91
  5. Step 5: Solve for x
    x = 68,374,245.91/11,114.61
  6. Step 6: Final answer
    x = 6,151.75

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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.