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Finding the Fourth Proportional to 6,454.68, 9,680.22 and 2,294.16

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Solution

The fourth proportional to 6,454.68, 9,680.22 and 2,294.16 is: 3,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.68 : 9,680.22 = 2,294.16 : x
  2. Step 2: Convert to fraction form
    6,454.68/9,680.22 = 2,294.16/x
  3. Step 3: Cross multiply
    6,454.68x = 9,680.22 × 2,294.16
  4. Step 4: Simplify right side
    6,454.68x = 22,207,973.52
  5. Step 5: Solve for x
    x = 22,207,973.52/6,454.68
  6. Step 6: Final answer
    x = 3,440.60

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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.