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Finding the Fourth Proportional to 5,584.14, 7,706.10 and 3,100.14

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Solution

The fourth proportional to 5,584.14, 7,706.10 and 3,100.14 is: 4,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.14 : 7,706.10 = 3,100.14 : x
  2. Step 2: Convert to fraction form
    5,584.14/7,706.10 = 3,100.14/x
  3. Step 3: Cross multiply
    5,584.14x = 7,706.10 × 3,100.14
  4. Step 4: Simplify right side
    5,584.14x = 23,889,988.85
  5. Step 5: Solve for x
    x = 23,889,988.85/5,584.14
  6. Step 6: Final answer
    x = 4,278.19

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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.