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Finding the Fourth Proportional to 13,832.25, 20,756.88 and 7,263.15

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Solution

The fourth proportional to 13,832.25, 20,756.88 and 7,263.15 is: 10,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.25 : 20,756.88 = 7,263.15 : x
  2. Step 2: Convert to fraction form
    13,832.25/20,756.88 = 7,263.15/x
  3. Step 3: Cross multiply
    13,832.25x = 20,756.88 × 7,263.15
  4. Step 4: Simplify right side
    13,832.25x = 150,760,332.97
  5. Step 5: Solve for x
    x = 150,760,332.97/13,832.25
  6. Step 6: Final answer
    x = 10,899.19

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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.