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Finding the Fourth Proportional to 6,071.68, 9,122.10 and 3,884.68

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Solution

The fourth proportional to 6,071.68, 9,122.10 and 3,884.68 is: 5,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.68 : 9,122.10 = 3,884.68 : x
  2. Step 2: Convert to fraction form
    6,071.68/9,122.10 = 3,884.68/x
  3. Step 3: Cross multiply
    6,071.68x = 9,122.10 × 3,884.68
  4. Step 4: Simplify right side
    6,071.68x = 35,436,439.43
  5. Step 5: Solve for x
    x = 35,436,439.43/6,071.68
  6. Step 6: Final answer
    x = 5,836.35

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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.