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Finding the Fourth Proportional to 6,010.70, 9,016.05 and 3,932.45

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Solution

The fourth proportional to 6,010.70, 9,016.05 and 3,932.45 is: 5,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.70 : 9,016.05 = 3,932.45 : x
  2. Step 2: Convert to fraction form
    6,010.70/9,016.05 = 3,932.45/x
  3. Step 3: Cross multiply
    6,010.70x = 9,016.05 × 3,932.45
  4. Step 4: Simplify right side
    6,010.70x = 35,455,101.08
  5. Step 5: Solve for x
    x = 35,455,101.08/6,010.70
  6. Step 6: Final answer
    x = 5,898.67

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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.