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Finding the Fourth Proportional to 8,323.72, 11,470.94 and 5,961.76

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Solution

The fourth proportional to 8,323.72, 11,470.94 and 5,961.76 is: 8,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.72 : 11,470.94 = 5,961.76 : x
  2. Step 2: Convert to fraction form
    8,323.72/11,470.94 = 5,961.76/x
  3. Step 3: Cross multiply
    8,323.72x = 11,470.94 × 5,961.76
  4. Step 4: Simplify right side
    8,323.72x = 68,386,904.09
  5. Step 5: Solve for x
    x = 68,386,904.09/8,323.72
  6. Step 6: Final answer
    x = 8,215.91

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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.