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Finding the Fourth Proportional to 10,065.52, 15,096.96 and 2,670

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Solution

The fourth proportional to 10,065.52, 15,096.96 and 2,670 is: 4,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.52 : 15,096.96 = 2,670 : x
  2. Step 2: Convert to fraction form
    10,065.52/15,096.96 = 2,670/x
  3. Step 3: Cross multiply
    10,065.52x = 15,096.96 × 2,670
  4. Step 4: Simplify right side
    10,065.52x = 40,308,883.20
  5. Step 5: Solve for x
    x = 40,308,883.20/10,065.52
  6. Step 6: Final answer
    x = 4,004.65

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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.