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Finding the Fourth Proportional to 6,432.40, 9,649.05 and 2,734.21

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Solution

The fourth proportional to 6,432.40, 9,649.05 and 2,734.21 is: 4,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.40 : 9,649.05 = 2,734.21 : x
  2. Step 2: Convert to fraction form
    6,432.40/9,649.05 = 2,734.21/x
  3. Step 3: Cross multiply
    6,432.40x = 9,649.05 × 2,734.21
  4. Step 4: Simplify right side
    6,432.40x = 26,382,529.00
  5. Step 5: Solve for x
    x = 26,382,529.00/6,432.40
  6. Step 6: Final answer
    x = 4,101.51

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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.