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Finding the Fourth Proportional to 12,121.60, 16,720.16 and 7,641.60

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Solution

The fourth proportional to 12,121.60, 16,720.16 and 7,641.60 is: 10,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.60 : 16,720.16 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    12,121.60/16,720.16 = 7,641.60/x
  3. Step 3: Cross multiply
    12,121.60x = 16,720.16 × 7,641.60
  4. Step 4: Simplify right side
    12,121.60x = 127,768,774.66
  5. Step 5: Solve for x
    x = 127,768,774.66/12,121.60
  6. Step 6: Final answer
    x = 10,540.59

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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.