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Finding the Fourth Proportional to 10,108.50, 15,145.98 and 6,147.78

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Solution

The fourth proportional to 10,108.50, 15,145.98 and 6,147.78 is: 9,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.50 : 15,145.98 = 6,147.78 : x
  2. Step 2: Convert to fraction form
    10,108.50/15,145.98 = 6,147.78/x
  3. Step 3: Cross multiply
    10,108.50x = 15,145.98 × 6,147.78
  4. Step 4: Simplify right side
    10,108.50x = 93,114,119.18
  5. Step 5: Solve for x
    x = 93,114,119.18/10,108.50
  6. Step 6: Final answer
    x = 9,211.47

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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.