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Finding the Fourth Proportional to 15,097.13, 20,832.49 and 8,382.03

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Solution

The fourth proportional to 15,097.13, 20,832.49 and 8,382.03 is: 11,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.13 : 20,832.49 = 8,382.03 : x
  2. Step 2: Convert to fraction form
    15,097.13/20,832.49 = 8,382.03/x
  3. Step 3: Cross multiply
    15,097.13x = 20,832.49 × 8,382.03
  4. Step 4: Simplify right side
    15,097.13x = 174,618,605.69
  5. Step 5: Solve for x
    x = 174,618,605.69/15,097.13
  6. Step 6: Final answer
    x = 11,566.34

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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.