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Finding the Fourth Proportional to 6,341.20, 9,511.80 and 2,642.20

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Solution

The fourth proportional to 6,341.20, 9,511.80 and 2,642.20 is: 3,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.20 : 9,511.80 = 2,642.20 : x
  2. Step 2: Convert to fraction form
    6,341.20/9,511.80 = 2,642.20/x
  3. Step 3: Cross multiply
    6,341.20x = 9,511.80 × 2,642.20
  4. Step 4: Simplify right side
    6,341.20x = 25,132,077.96
  5. Step 5: Solve for x
    x = 25,132,077.96/6,341.20
  6. Step 6: Final answer
    x = 3,963.30

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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.