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Finding the Fourth Proportional to 4,074.64, 6,105.22 and 3,734.17

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Solution

The fourth proportional to 4,074.64, 6,105.22 and 3,734.17 is: 5,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.64 : 6,105.22 = 3,734.17 : x
  2. Step 2: Convert to fraction form
    4,074.64/6,105.22 = 3,734.17/x
  3. Step 3: Cross multiply
    4,074.64x = 6,105.22 × 3,734.17
  4. Step 4: Simplify right side
    4,074.64x = 22,797,904.77
  5. Step 5: Solve for x
    x = 22,797,904.77/4,074.64
  6. Step 6: Final answer
    x = 5,595.08

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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.