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Finding the Fourth Proportional to 6,071.76, 8,377.02 and 5,284.44

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Solution

The fourth proportional to 6,071.76, 8,377.02 and 5,284.44 is: 7,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.76 : 8,377.02 = 5,284.44 : x
  2. Step 2: Convert to fraction form
    6,071.76/8,377.02 = 5,284.44/x
  3. Step 3: Cross multiply
    6,071.76x = 8,377.02 × 5,284.44
  4. Step 4: Simplify right side
    6,071.76x = 44,267,859.57
  5. Step 5: Solve for x
    x = 44,267,859.57/6,071.76
  6. Step 6: Final answer
    x = 7,290.78

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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.