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Finding the Fourth Proportional to 12,497.20, 18,745.80 and 7,313.20

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Solution

The fourth proportional to 12,497.20, 18,745.80 and 7,313.20 is: 10,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.20 : 18,745.80 = 7,313.20 : x
  2. Step 2: Convert to fraction form
    12,497.20/18,745.80 = 7,313.20/x
  3. Step 3: Cross multiply
    12,497.20x = 18,745.80 × 7,313.20
  4. Step 4: Simplify right side
    12,497.20x = 137,091,784.56
  5. Step 5: Solve for x
    x = 137,091,784.56/12,497.20
  6. Step 6: Final answer
    x = 10,969.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.