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Finding the Fourth Proportional to 11,813.67, 17,634.08 and 10,412.45

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Solution

The fourth proportional to 11,813.67, 17,634.08 and 10,412.45 is: 15,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.67 : 17,634.08 = 10,412.45 : x
  2. Step 2: Convert to fraction form
    11,813.67/17,634.08 = 10,412.45/x
  3. Step 3: Cross multiply
    11,813.67x = 17,634.08 × 10,412.45
  4. Step 4: Simplify right side
    11,813.67x = 183,613,976.30
  5. Step 5: Solve for x
    x = 183,613,976.30/11,813.67
  6. Step 6: Final answer
    x = 15,542.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.