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Finding the Fourth Proportional to 15,097.73, 20,837.81 and 9,643.29

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Solution

The fourth proportional to 15,097.73, 20,837.81 and 9,643.29 is: 13,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.73 : 20,837.81 = 9,643.29 : x
  2. Step 2: Convert to fraction form
    15,097.73/20,837.81 = 9,643.29/x
  3. Step 3: Cross multiply
    15,097.73x = 20,837.81 × 9,643.29
  4. Step 4: Simplify right side
    15,097.73x = 200,944,990.76
  5. Step 5: Solve for x
    x = 200,944,990.76/15,097.73
  6. Step 6: Final answer
    x = 13,309.62

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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.