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Finding the Fourth Proportional to 6,171.40, 9,278.70 and 6,041.80

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Solution

The fourth proportional to 6,171.40, 9,278.70 and 6,041.80 is: 9,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.40 : 9,278.70 = 6,041.80 : x
  2. Step 2: Convert to fraction form
    6,171.40/9,278.70 = 6,041.80/x
  3. Step 3: Cross multiply
    6,171.40x = 9,278.70 × 6,041.80
  4. Step 4: Simplify right side
    6,171.40x = 56,060,049.66
  5. Step 5: Solve for x
    x = 56,060,049.66/6,171.40
  6. Step 6: Final answer
    x = 9,083.85

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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.