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Finding the Fourth Proportional to 15,097.17, 20,834.34 and 8,383.23

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Solution

The fourth proportional to 15,097.17, 20,834.34 and 8,383.23 is: 11,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.17 : 20,834.34 = 8,383.23 : x
  2. Step 2: Convert to fraction form
    15,097.17/20,834.34 = 8,383.23/x
  3. Step 3: Cross multiply
    15,097.17x = 20,834.34 × 8,383.23
  4. Step 4: Simplify right side
    15,097.17x = 174,659,064.12
  5. Step 5: Solve for x
    x = 174,659,064.12/15,097.17
  6. Step 6: Final answer
    x = 11,568.99

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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.