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Finding the Fourth Proportional to 9,947.70, 13,726.93 and 5,471.64

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Solution

The fourth proportional to 9,947.70, 13,726.93 and 5,471.64 is: 7,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.70 : 13,726.93 = 5,471.64 : x
  2. Step 2: Convert to fraction form
    9,947.70/13,726.93 = 5,471.64/x
  3. Step 3: Cross multiply
    9,947.70x = 13,726.93 × 5,471.64
  4. Step 4: Simplify right side
    9,947.70x = 75,108,819.27
  5. Step 5: Solve for x
    x = 75,108,819.27/9,947.70
  6. Step 6: Final answer
    x = 7,550.37

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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.