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Finding the Fourth Proportional to 6,102.59, 9,136.59 and 4,016.32

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Solution

The fourth proportional to 6,102.59, 9,136.59 and 4,016.32 is: 6,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.59 : 9,136.59 = 4,016.32 : x
  2. Step 2: Convert to fraction form
    6,102.59/9,136.59 = 4,016.32/x
  3. Step 3: Cross multiply
    6,102.59x = 9,136.59 × 4,016.32
  4. Step 4: Simplify right side
    6,102.59x = 36,695,469.15
  5. Step 5: Solve for x
    x = 36,695,469.15/6,102.59
  6. Step 6: Final answer
    x = 6,013.10

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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.