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Finding the Fourth Proportional to 12,874.08, 17,765.12 and 7,495.68

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Solution

The fourth proportional to 12,874.08, 17,765.12 and 7,495.68 is: 10,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.08 : 17,765.12 = 7,495.68 : x
  2. Step 2: Convert to fraction form
    12,874.08/17,765.12 = 7,495.68/x
  3. Step 3: Cross multiply
    12,874.08x = 17,765.12 × 7,495.68
  4. Step 4: Simplify right side
    12,874.08x = 133,161,654.68
  5. Step 5: Solve for x
    x = 133,161,654.68/12,874.08
  6. Step 6: Final answer
    x = 10,343.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.