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Finding the Fourth Proportional to 12,199.57, 16,835.40 and 6,610.57

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Solution

The fourth proportional to 12,199.57, 16,835.40 and 6,610.57 is: 9,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.57 : 16,835.40 = 6,610.57 : x
  2. Step 2: Convert to fraction form
    12,199.57/16,835.40 = 6,610.57/x
  3. Step 3: Cross multiply
    12,199.57x = 16,835.40 × 6,610.57
  4. Step 4: Simplify right side
    12,199.57x = 111,291,590.18
  5. Step 5: Solve for x
    x = 111,291,590.18/12,199.57
  6. Step 6: Final answer
    x = 9,122.58

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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.