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Finding the Fourth Proportional to 6,452.68, 9,677.22 and 2,292.16

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Solution

The fourth proportional to 6,452.68, 9,677.22 and 2,292.16 is: 3,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.68 : 9,677.22 = 2,292.16 : x
  2. Step 2: Convert to fraction form
    6,452.68/9,677.22 = 2,292.16/x
  3. Step 3: Cross multiply
    6,452.68x = 9,677.22 × 2,292.16
  4. Step 4: Simplify right side
    6,452.68x = 22,181,736.60
  5. Step 5: Solve for x
    x = 22,181,736.60/6,452.68
  6. Step 6: Final answer
    x = 3,437.60

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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.