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Finding the Fourth Proportional to 13,828.40, 20,726.40 and 7,251.20

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Solution

The fourth proportional to 13,828.40, 20,726.40 and 7,251.20 is: 10,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.40 : 20,726.40 = 7,251.20 : x
  2. Step 2: Convert to fraction form
    13,828.40/20,726.40 = 7,251.20/x
  3. Step 3: Cross multiply
    13,828.40x = 20,726.40 × 7,251.20
  4. Step 4: Simplify right side
    13,828.40x = 150,291,271.68
  5. Step 5: Solve for x
    x = 150,291,271.68/13,828.40
  6. Step 6: Final answer
    x = 10,868.31

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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.