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Finding the Fourth Proportional to 6,875.57, 10,308.12 and 3,758.24

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Solution

The fourth proportional to 6,875.57, 10,308.12 and 3,758.24 is: 5,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.57 : 10,308.12 = 3,758.24 : x
  2. Step 2: Convert to fraction form
    6,875.57/10,308.12 = 3,758.24/x
  3. Step 3: Cross multiply
    6,875.57x = 10,308.12 × 3,758.24
  4. Step 4: Simplify right side
    6,875.57x = 38,740,388.91
  5. Step 5: Solve for x
    x = 38,740,388.91/6,875.57
  6. Step 6: Final answer
    x = 5,634.50

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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.