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Finding the Fourth Proportional to 13,959.72, 20,944.13 and 6,564.92

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Solution

The fourth proportional to 13,959.72, 20,944.13 and 6,564.92 is: 9,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.72 : 20,944.13 = 6,564.92 : x
  2. Step 2: Convert to fraction form
    13,959.72/20,944.13 = 6,564.92/x
  3. Step 3: Cross multiply
    13,959.72x = 20,944.13 × 6,564.92
  4. Step 4: Simplify right side
    13,959.72x = 137,496,400.37
  5. Step 5: Solve for x
    x = 137,496,400.37/13,959.72
  6. Step 6: Final answer
    x = 9,849.51

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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.