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Finding the Fourth Proportional to 6,843.13, 10,264.69 and 1,649

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Solution

The fourth proportional to 6,843.13, 10,264.69 and 1,649 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.13 : 10,264.69 = 1,649 : x
  2. Step 2: Convert to fraction form
    6,843.13/10,264.69 = 1,649/x
  3. Step 3: Cross multiply
    6,843.13x = 10,264.69 × 1,649
  4. Step 4: Simplify right side
    6,843.13x = 16,926,473.81
  5. Step 5: Solve for x
    x = 16,926,473.81/6,843.13
  6. Step 6: Final answer
    x = 2,473.50

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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.