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Finding the Fourth Proportional to 6,752.70, 10,146.87 and 3,635.01

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Solution

The fourth proportional to 6,752.70, 10,146.87 and 3,635.01 is: 5,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.70 : 10,146.87 = 3,635.01 : x
  2. Step 2: Convert to fraction form
    6,752.70/10,146.87 = 3,635.01/x
  3. Step 3: Cross multiply
    6,752.70x = 10,146.87 × 3,635.01
  4. Step 4: Simplify right side
    6,752.70x = 36,883,973.92
  5. Step 5: Solve for x
    x = 36,883,973.92/6,752.70
  6. Step 6: Final answer
    x = 5,462.11

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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.