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Finding the Fourth Proportional to 4,469.68, 6,706.74 and 2,006.24

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Solution

The fourth proportional to 4,469.68, 6,706.74 and 2,006.24 is: 3,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.68 : 6,706.74 = 2,006.24 : x
  2. Step 2: Convert to fraction form
    4,469.68/6,706.74 = 2,006.24/x
  3. Step 3: Cross multiply
    4,469.68x = 6,706.74 × 2,006.24
  4. Step 4: Simplify right side
    4,469.68x = 13,455,330.06
  5. Step 5: Solve for x
    x = 13,455,330.06/4,469.68
  6. Step 6: Final answer
    x = 3,010.36

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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.