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Finding the Fourth Proportional to 6,754.16, 10,133.40 and 3,674

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Solution

The fourth proportional to 6,754.16, 10,133.40 and 3,674 is: 5,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.16 : 10,133.40 = 3,674 : x
  2. Step 2: Convert to fraction form
    6,754.16/10,133.40 = 3,674/x
  3. Step 3: Cross multiply
    6,754.16x = 10,133.40 × 3,674
  4. Step 4: Simplify right side
    6,754.16x = 37,230,111.60
  5. Step 5: Solve for x
    x = 37,230,111.60/6,754.16
  6. Step 6: Final answer
    x = 5,512.17

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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.