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Finding the Fourth Proportional to 6,895, 10,342.70 and 1,700.88

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Solution

The fourth proportional to 6,895, 10,342.70 and 1,700.88 is: 2,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895 : 10,342.70 = 1,700.88 : x
  2. Step 2: Convert to fraction form
    6,895/10,342.70 = 1,700.88/x
  3. Step 3: Cross multiply
    6,895x = 10,342.70 × 1,700.88
  4. Step 4: Simplify right side
    6,895x = 17,591,691.58
  5. Step 5: Solve for x
    x = 17,591,691.58/6,895
  6. Step 6: Final answer
    x = 2,551.37

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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.