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Finding the Fourth Proportional to 10,095.92, 15,145.56 and 3,170

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Solution

The fourth proportional to 10,095.92, 15,145.56 and 3,170 is: 4,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.92 : 15,145.56 = 3,170 : x
  2. Step 2: Convert to fraction form
    10,095.92/15,145.56 = 3,170/x
  3. Step 3: Cross multiply
    10,095.92x = 15,145.56 × 3,170
  4. Step 4: Simplify right side
    10,095.92x = 48,011,425.20
  5. Step 5: Solve for x
    x = 48,011,425.20/10,095.92
  6. Step 6: Final answer
    x = 4,755.53

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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.