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Finding the Fourth Proportional to 13,835.26, 20,758.92 and 7,259.86

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Solution

The fourth proportional to 13,835.26, 20,758.92 and 7,259.86 is: 10,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.26 : 20,758.92 = 7,259.86 : x
  2. Step 2: Convert to fraction form
    13,835.26/20,758.92 = 7,259.86/x
  3. Step 3: Cross multiply
    13,835.26x = 20,758.92 × 7,259.86
  4. Step 4: Simplify right side
    13,835.26x = 150,706,852.95
  5. Step 5: Solve for x
    x = 150,706,852.95/13,835.26
  6. Step 6: Final answer
    x = 10,892.95

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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.