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Finding the Fourth Proportional to 6,454.68, 9,682.20 and 2,072.40

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Solution

The fourth proportional to 6,454.68, 9,682.20 and 2,072.40 is: 3,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.68 : 9,682.20 = 2,072.40 : x
  2. Step 2: Convert to fraction form
    6,454.68/9,682.20 = 2,072.40/x
  3. Step 3: Cross multiply
    6,454.68x = 9,682.20 × 2,072.40
  4. Step 4: Simplify right side
    6,454.68x = 20,065,391.28
  5. Step 5: Solve for x
    x = 20,065,391.28/6,454.68
  6. Step 6: Final answer
    x = 3,108.66

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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.