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Finding the Fourth Proportional to 6,164.70, 9,248.40 and 2,004.90

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Solution

The fourth proportional to 6,164.70, 9,248.40 and 2,004.90 is: 3,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.70 : 9,248.40 = 2,004.90 : x
  2. Step 2: Convert to fraction form
    6,164.70/9,248.40 = 2,004.90/x
  3. Step 3: Cross multiply
    6,164.70x = 9,248.40 × 2,004.90
  4. Step 4: Simplify right side
    6,164.70x = 18,542,117.16
  5. Step 5: Solve for x
    x = 18,542,117.16/6,164.70
  6. Step 6: Final answer
    x = 3,007.79

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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.