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Finding the Fourth Proportional to 6,972.70, 10,473.63 and 5,879.20

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Solution

The fourth proportional to 6,972.70, 10,473.63 and 5,879.20 is: 8,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.70 : 10,473.63 = 5,879.20 : x
  2. Step 2: Convert to fraction form
    6,972.70/10,473.63 = 5,879.20/x
  3. Step 3: Cross multiply
    6,972.70x = 10,473.63 × 5,879.20
  4. Step 4: Simplify right side
    6,972.70x = 61,576,565.50
  5. Step 5: Solve for x
    x = 61,576,565.50/6,972.70
  6. Step 6: Final answer
    x = 8,831.09

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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.