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Finding the Fourth Proportional to 6,308.06, 9,458.78 and 1,865.14

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Solution

The fourth proportional to 6,308.06, 9,458.78 and 1,865.14 is: 2,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.06 : 9,458.78 = 1,865.14 : x
  2. Step 2: Convert to fraction form
    6,308.06/9,458.78 = 1,865.14/x
  3. Step 3: Cross multiply
    6,308.06x = 9,458.78 × 1,865.14
  4. Step 4: Simplify right side
    6,308.06x = 17,641,948.93
  5. Step 5: Solve for x
    x = 17,641,948.93/6,308.06
  6. Step 6: Final answer
    x = 2,796.73

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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.