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Finding the Fourth Proportional to 6,071.72, 9,113.82 and 3,149.24

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Solution

The fourth proportional to 6,071.72, 9,113.82 and 3,149.24 is: 4,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.72 : 9,113.82 = 3,149.24 : x
  2. Step 2: Convert to fraction form
    6,071.72/9,113.82 = 3,149.24/x
  3. Step 3: Cross multiply
    6,071.72x = 9,113.82 × 3,149.24
  4. Step 4: Simplify right side
    6,071.72x = 28,701,606.50
  5. Step 5: Solve for x
    x = 28,701,606.50/6,071.72
  6. Step 6: Final answer
    x = 4,727.10

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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.