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Finding the Fourth Proportional to 7,049.97, 9,729.14 and 4,065.93

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Solution

The fourth proportional to 7,049.97, 9,729.14 and 4,065.93 is: 5,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.97 : 9,729.14 = 4,065.93 : x
  2. Step 2: Convert to fraction form
    7,049.97/9,729.14 = 4,065.93/x
  3. Step 3: Cross multiply
    7,049.97x = 9,729.14 × 4,065.93
  4. Step 4: Simplify right side
    7,049.97x = 39,557,981.87
  5. Step 5: Solve for x
    x = 39,557,981.87/7,049.97
  6. Step 6: Final answer
    x = 5,611.09

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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.