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Finding the Fourth Proportional to 6,713.88, 10,070 and 3,429.34

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Solution

The fourth proportional to 6,713.88, 10,070 and 3,429.34 is: 5,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.88 : 10,070 = 3,429.34 : x
  2. Step 2: Convert to fraction form
    6,713.88/10,070 = 3,429.34/x
  3. Step 3: Cross multiply
    6,713.88x = 10,070 × 3,429.34
  4. Step 4: Simplify right side
    6,713.88x = 34,533,453.80
  5. Step 5: Solve for x
    x = 34,533,453.80/6,713.88
  6. Step 6: Final answer
    x = 5,143.59

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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.