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Finding the Fourth Proportional to 12,321.60, 16,986.24 and 7,603.20

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Solution

The fourth proportional to 12,321.60, 16,986.24 and 7,603.20 is: 10,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.60 : 16,986.24 = 7,603.20 : x
  2. Step 2: Convert to fraction form
    12,321.60/16,986.24 = 7,603.20/x
  3. Step 3: Cross multiply
    12,321.60x = 16,986.24 × 7,603.20
  4. Step 4: Simplify right side
    12,321.60x = 129,149,779.97
  5. Step 5: Solve for x
    x = 129,149,779.97/12,321.60
  6. Step 6: Final answer
    x = 10,481.58

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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.