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Finding the Fourth Proportional to 7,175.84, 10,754.01 and 3,470.72

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Solution

The fourth proportional to 7,175.84, 10,754.01 and 3,470.72 is: 5,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.84 : 10,754.01 = 3,470.72 : x
  2. Step 2: Convert to fraction form
    7,175.84/10,754.01 = 3,470.72/x
  3. Step 3: Cross multiply
    7,175.84x = 10,754.01 × 3,470.72
  4. Step 4: Simplify right side
    7,175.84x = 37,324,103.82
  5. Step 5: Solve for x
    x = 37,324,103.82/7,175.84
  6. Step 6: Final answer
    x = 5,201.36

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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.