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Finding the Fourth Proportional to 27,602.69, 41,398.22 and 8,884.40

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Solution

The fourth proportional to 27,602.69, 41,398.22 and 8,884.40 is: 13,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.69 : 41,398.22 = 8,884.40 : x
  2. Step 2: Convert to fraction form
    27,602.69/41,398.22 = 8,884.40/x
  3. Step 3: Cross multiply
    27,602.69x = 41,398.22 × 8,884.40
  4. Step 4: Simplify right side
    27,602.69x = 367,798,160.99
  5. Step 5: Solve for x
    x = 367,798,160.99/27,602.69
  6. Step 6: Final answer
    x = 13,324.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.