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Finding the Fourth Proportional to 12,197.42, 16,832.40 and 6,608.42

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Solution

The fourth proportional to 12,197.42, 16,832.40 and 6,608.42 is: 9,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.42 : 16,832.40 = 6,608.42 : x
  2. Step 2: Convert to fraction form
    12,197.42/16,832.40 = 6,608.42/x
  3. Step 3: Cross multiply
    12,197.42x = 16,832.40 × 6,608.42
  4. Step 4: Simplify right side
    12,197.42x = 111,235,568.81
  5. Step 5: Solve for x
    x = 111,235,568.81/12,197.42
  6. Step 6: Final answer
    x = 9,119.60

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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.