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Finding the Fourth Proportional to 6,458.60, 9,687.90 and 1,778.60

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Solution

The fourth proportional to 6,458.60, 9,687.90 and 1,778.60 is: 2,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.60 : 9,687.90 = 1,778.60 : x
  2. Step 2: Convert to fraction form
    6,458.60/9,687.90 = 1,778.60/x
  3. Step 3: Cross multiply
    6,458.60x = 9,687.90 × 1,778.60
  4. Step 4: Simplify right side
    6,458.60x = 17,230,898.94
  5. Step 5: Solve for x
    x = 17,230,898.94/6,458.60
  6. Step 6: Final answer
    x = 2,667.90

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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.