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Finding the Fourth Proportional to 12,198.96, 18,294.12 and 6,656.40

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Solution

The fourth proportional to 12,198.96, 18,294.12 and 6,656.40 is: 9,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.96 : 18,294.12 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    12,198.96/18,294.12 = 6,656.40/x
  3. Step 3: Cross multiply
    12,198.96x = 18,294.12 × 6,656.40
  4. Step 4: Simplify right side
    12,198.96x = 121,772,980.37
  5. Step 5: Solve for x
    x = 121,772,980.37/12,198.96
  6. Step 6: Final answer
    x = 9,982.24

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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.