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Finding the Fourth Proportional to 12,199.64, 16,835.53 and 6,610.64

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Solution

The fourth proportional to 12,199.64, 16,835.53 and 6,610.64 is: 9,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.64 : 16,835.53 = 6,610.64 : x
  2. Step 2: Convert to fraction form
    12,199.64/16,835.53 = 6,610.64/x
  3. Step 3: Cross multiply
    12,199.64x = 16,835.53 × 6,610.64
  4. Step 4: Simplify right side
    12,199.64x = 111,293,634.43
  5. Step 5: Solve for x
    x = 111,293,634.43/12,199.64
  6. Step 6: Final answer
    x = 9,122.70

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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.