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Finding the Fourth Proportional to 6,447.97, 9,672.01 and 6,133.19

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Solution

The fourth proportional to 6,447.97, 9,672.01 and 6,133.19 is: 9,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.97 : 9,672.01 = 6,133.19 : x
  2. Step 2: Convert to fraction form
    6,447.97/9,672.01 = 6,133.19/x
  3. Step 3: Cross multiply
    6,447.97x = 9,672.01 × 6,133.19
  4. Step 4: Simplify right side
    6,447.97x = 59,320,211.32
  5. Step 5: Solve for x
    x = 59,320,211.32/6,447.97
  6. Step 6: Final answer
    x = 9,199.83

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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.