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Finding the Fourth Proportional to 6,100.29, 8,414.16 and 4,839.58

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Solution

The fourth proportional to 6,100.29, 8,414.16 and 4,839.58 is: 6,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.29 : 8,414.16 = 4,839.58 : x
  2. Step 2: Convert to fraction form
    6,100.29/8,414.16 = 4,839.58/x
  3. Step 3: Cross multiply
    6,100.29x = 8,414.16 × 4,839.58
  4. Step 4: Simplify right side
    6,100.29x = 40,721,000.45
  5. Step 5: Solve for x
    x = 40,721,000.45/6,100.29
  6. Step 6: Final answer
    x = 6,675.26

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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.