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Finding the Fourth Proportional to 17,187.60, 25,769.10 and 6,648.60

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Solution

The fourth proportional to 17,187.60, 25,769.10 and 6,648.60 is: 9,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.60 : 25,769.10 = 6,648.60 : x
  2. Step 2: Convert to fraction form
    17,187.60/25,769.10 = 6,648.60/x
  3. Step 3: Cross multiply
    17,187.60x = 25,769.10 × 6,648.60
  4. Step 4: Simplify right side
    17,187.60x = 171,328,438.26
  5. Step 5: Solve for x
    x = 171,328,438.26/17,187.60
  6. Step 6: Final answer
    x = 9,968.14

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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.