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Finding the Fourth Proportional to 6,683.44, 9,201.72 and 6,236.32

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Solution

The fourth proportional to 6,683.44, 9,201.72 and 6,236.32 is: 8,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.44 : 9,201.72 = 6,236.32 : x
  2. Step 2: Convert to fraction form
    6,683.44/9,201.72 = 6,236.32/x
  3. Step 3: Cross multiply
    6,683.44x = 9,201.72 × 6,236.32
  4. Step 4: Simplify right side
    6,683.44x = 57,384,870.47
  5. Step 5: Solve for x
    x = 57,384,870.47/6,683.44
  6. Step 6: Final answer
    x = 8,586.13

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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.