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Finding the Fourth Proportional to 6,774.31, 9,343.38 and 5,831.65

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Solution

The fourth proportional to 6,774.31, 9,343.38 and 5,831.65 is: 8,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.31 : 9,343.38 = 5,831.65 : x
  2. Step 2: Convert to fraction form
    6,774.31/9,343.38 = 5,831.65/x
  3. Step 3: Cross multiply
    6,774.31x = 9,343.38 × 5,831.65
  4. Step 4: Simplify right side
    6,774.31x = 54,487,321.98
  5. Step 5: Solve for x
    x = 54,487,321.98/6,774.31
  6. Step 6: Final answer
    x = 8,043.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.