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Finding the Fourth Proportional to 12,101.89, 16,697 and 7,323.60

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Solution

The fourth proportional to 12,101.89, 16,697 and 7,323.60 is: 10,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.89 : 16,697 = 7,323.60 : x
  2. Step 2: Convert to fraction form
    12,101.89/16,697 = 7,323.60/x
  3. Step 3: Cross multiply
    12,101.89x = 16,697 × 7,323.60
  4. Step 4: Simplify right side
    12,101.89x = 122,282,149.20
  5. Step 5: Solve for x
    x = 122,282,149.20/12,101.89
  6. Step 6: Final answer
    x = 10,104.38

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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.