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Finding the Fourth Proportional to 6,839.22, 9,454.06 and 6,100.50

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Solution

The fourth proportional to 6,839.22, 9,454.06 and 6,100.50 is: 8,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.22 : 9,454.06 = 6,100.50 : x
  2. Step 2: Convert to fraction form
    6,839.22/9,454.06 = 6,100.50/x
  3. Step 3: Cross multiply
    6,839.22x = 9,454.06 × 6,100.50
  4. Step 4: Simplify right side
    6,839.22x = 57,674,493.03
  5. Step 5: Solve for x
    x = 57,674,493.03/6,839.22
  6. Step 6: Final answer
    x = 8,432.91

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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.