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Finding the Fourth Proportional to 6,456.68, 9,683.22 and 2,296.16

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Solution

The fourth proportional to 6,456.68, 9,683.22 and 2,296.16 is: 3,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.68 : 9,683.22 = 2,296.16 : x
  2. Step 2: Convert to fraction form
    6,456.68/9,683.22 = 2,296.16/x
  3. Step 3: Cross multiply
    6,456.68x = 9,683.22 × 2,296.16
  4. Step 4: Simplify right side
    6,456.68x = 22,234,222.44
  5. Step 5: Solve for x
    x = 22,234,222.44/6,456.68
  6. Step 6: Final answer
    x = 3,443.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.