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Finding the Fourth Proportional to 6,677.04, 9,213.12 and 3,882

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Solution

The fourth proportional to 6,677.04, 9,213.12 and 3,882 is: 5,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.04 : 9,213.12 = 3,882 : x
  2. Step 2: Convert to fraction form
    6,677.04/9,213.12 = 3,882/x
  3. Step 3: Cross multiply
    6,677.04x = 9,213.12 × 3,882
  4. Step 4: Simplify right side
    6,677.04x = 35,765,331.84
  5. Step 5: Solve for x
    x = 35,765,331.84/6,677.04
  6. Step 6: Final answer
    x = 5,356.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.