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Finding the Fourth Proportional to 16,117, 24,175.50 and 5,729.16

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Solution

The fourth proportional to 16,117, 24,175.50 and 5,729.16 is: 8,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117 : 24,175.50 = 5,729.16 : x
  2. Step 2: Convert to fraction form
    16,117/24,175.50 = 5,729.16/x
  3. Step 3: Cross multiply
    16,117x = 24,175.50 × 5,729.16
  4. Step 4: Simplify right side
    16,117x = 138,505,307.58
  5. Step 5: Solve for x
    x = 138,505,307.58/16,117
  6. Step 6: Final answer
    x = 8,593.74

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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.