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Finding the Fourth Proportional to 13,398.39, 18,489.89 and 7,430.14

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Solution

The fourth proportional to 13,398.39, 18,489.89 and 7,430.14 is: 10,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.39 : 18,489.89 = 7,430.14 : x
  2. Step 2: Convert to fraction form
    13,398.39/18,489.89 = 7,430.14/x
  3. Step 3: Cross multiply
    13,398.39x = 18,489.89 × 7,430.14
  4. Step 4: Simplify right side
    13,398.39x = 137,382,471.28
  5. Step 5: Solve for x
    x = 137,382,471.28/13,398.39
  6. Step 6: Final answer
    x = 10,253.66

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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.