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Finding the Fourth Proportional to 6,094.50, 9,147.96 and 4,113.96

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Solution

The fourth proportional to 6,094.50, 9,147.96 and 4,113.96 is: 6,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.50 : 9,147.96 = 4,113.96 : x
  2. Step 2: Convert to fraction form
    6,094.50/9,147.96 = 4,113.96/x
  3. Step 3: Cross multiply
    6,094.50x = 9,147.96 × 4,113.96
  4. Step 4: Simplify right side
    6,094.50x = 37,634,341.52
  5. Step 5: Solve for x
    x = 37,634,341.52/6,094.50
  6. Step 6: Final answer
    x = 6,175.13

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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.