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Finding the Fourth Proportional to 12,398.78, 18,598.16 and 3,164.78

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Solution

The fourth proportional to 12,398.78, 18,598.16 and 3,164.78 is: 4,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.78 : 18,598.16 = 3,164.78 : x
  2. Step 2: Convert to fraction form
    12,398.78/18,598.16 = 3,164.78/x
  3. Step 3: Cross multiply
    12,398.78x = 18,598.16 × 3,164.78
  4. Step 4: Simplify right side
    12,398.78x = 58,858,991.81
  5. Step 5: Solve for x
    x = 58,858,991.81/12,398.78
  6. Step 6: Final answer
    x = 4,747.16

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1.5x scale

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.