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Finding the Fourth Proportional to 12,756.30, 17,600.97 and 7,448.73

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Solution

The fourth proportional to 12,756.30, 17,600.97 and 7,448.73 is: 10,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.30 : 17,600.97 = 7,448.73 : x
  2. Step 2: Convert to fraction form
    12,756.30/17,600.97 = 7,448.73/x
  3. Step 3: Cross multiply
    12,756.30x = 17,600.97 × 7,448.73
  4. Step 4: Simplify right side
    12,756.30x = 131,104,873.27
  5. Step 5: Solve for x
    x = 131,104,873.27/12,756.30
  6. Step 6: Final answer
    x = 10,277.66

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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.