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Finding the Fourth Proportional to 6,743.72, 9,305.88 and 4,225.74

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Solution

The fourth proportional to 6,743.72, 9,305.88 and 4,225.74 is: 5,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.72 : 9,305.88 = 4,225.74 : x
  2. Step 2: Convert to fraction form
    6,743.72/9,305.88 = 4,225.74/x
  3. Step 3: Cross multiply
    6,743.72x = 9,305.88 × 4,225.74
  4. Step 4: Simplify right side
    6,743.72x = 39,324,229.35
  5. Step 5: Solve for x
    x = 39,324,229.35/6,743.72
  6. Step 6: Final answer
    x = 5,831.24

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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.