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Finding the Fourth Proportional to 8,255.74, 11,393.86 and 5,737.18

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Solution

The fourth proportional to 8,255.74, 11,393.86 and 5,737.18 is: 7,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.74 : 11,393.86 = 5,737.18 : x
  2. Step 2: Convert to fraction form
    8,255.74/11,393.86 = 5,737.18/x
  3. Step 3: Cross multiply
    8,255.74x = 11,393.86 × 5,737.18
  4. Step 4: Simplify right side
    8,255.74x = 65,368,625.71
  5. Step 5: Solve for x
    x = 65,368,625.71/8,255.74
  6. Step 6: Final answer
    x = 7,917.96

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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.