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Finding the Fourth Proportional to 13,974.40, 20,959.20 and 5,204.80

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Solution

The fourth proportional to 13,974.40, 20,959.20 and 5,204.80 is: 7,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.40 : 20,959.20 = 5,204.80 : x
  2. Step 2: Convert to fraction form
    13,974.40/20,959.20 = 5,204.80/x
  3. Step 3: Cross multiply
    13,974.40x = 20,959.20 × 5,204.80
  4. Step 4: Simplify right side
    13,974.40x = 109,088,444.16
  5. Step 5: Solve for x
    x = 109,088,444.16/13,974.40
  6. Step 6: Final answer
    x = 7,806.31

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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.