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Finding the Fourth Proportional to 6,683.39, 9,216.95 and 5,738.86

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Solution

The fourth proportional to 6,683.39, 9,216.95 and 5,738.86 is: 7,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.39 : 9,216.95 = 5,738.86 : x
  2. Step 2: Convert to fraction form
    6,683.39/9,216.95 = 5,738.86/x
  3. Step 3: Cross multiply
    6,683.39x = 9,216.95 × 5,738.86
  4. Step 4: Simplify right side
    6,683.39x = 52,894,785.68
  5. Step 5: Solve for x
    x = 52,894,785.68/6,683.39
  6. Step 6: Final answer
    x = 7,914.36

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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.