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Finding the Fourth Proportional to 6,135, 9,202.31 and 1,752.46

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Solution

The fourth proportional to 6,135, 9,202.31 and 1,752.46 is: 2,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135 : 9,202.31 = 1,752.46 : x
  2. Step 2: Convert to fraction form
    6,135/9,202.31 = 1,752.46/x
  3. Step 3: Cross multiply
    6,135x = 9,202.31 × 1,752.46
  4. Step 4: Simplify right side
    6,135x = 16,126,680.18
  5. Step 5: Solve for x
    x = 16,126,680.18/6,135
  6. Step 6: Final answer
    x = 2,628.64

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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.