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Finding the Fourth Proportional to 6,706.94, 10,060.40 and 3,952.80

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Solution

The fourth proportional to 6,706.94, 10,060.40 and 3,952.80 is: 5,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.94 : 10,060.40 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    6,706.94/10,060.40 = 3,952.80/x
  3. Step 3: Cross multiply
    6,706.94x = 10,060.40 × 3,952.80
  4. Step 4: Simplify right side
    6,706.94x = 39,766,759.00
  5. Step 5: Solve for x
    x = 39,766,759.00/6,706.94
  6. Step 6: Final answer
    x = 5,929.20

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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.