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Finding the Fourth Proportional to 6,706.74, 10,065 and 3,422.58

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Solution

The fourth proportional to 6,706.74, 10,065 and 3,422.58 is: 5,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.74 : 10,065 = 3,422.58 : x
  2. Step 2: Convert to fraction form
    6,706.74/10,065 = 3,422.58/x
  3. Step 3: Cross multiply
    6,706.74x = 10,065 × 3,422.58
  4. Step 4: Simplify right side
    6,706.74x = 34,448,267.70
  5. Step 5: Solve for x
    x = 34,448,267.70/6,706.74
  6. Step 6: Final answer
    x = 5,136.37

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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.