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Finding the Fourth Proportional to 10,162.37, 15,229.70 and 6,215

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Solution

The fourth proportional to 10,162.37, 15,229.70 and 6,215 is: 9,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.37 : 15,229.70 = 6,215 : x
  2. Step 2: Convert to fraction form
    10,162.37/15,229.70 = 6,215/x
  3. Step 3: Cross multiply
    10,162.37x = 15,229.70 × 6,215
  4. Step 4: Simplify right side
    10,162.37x = 94,652,585.50
  5. Step 5: Solve for x
    x = 94,652,585.50/10,162.37
  6. Step 6: Final answer
    x = 9,314.03

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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.