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Finding the Fourth Proportional to 27,055, 40,599.11 and 11,472.63

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Solution

The fourth proportional to 27,055, 40,599.11 and 11,472.63 is: 17,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055 : 40,599.11 = 11,472.63 : x
  2. Step 2: Convert to fraction form
    27,055/40,599.11 = 11,472.63/x
  3. Step 3: Cross multiply
    27,055x = 40,599.11 × 11,472.63
  4. Step 4: Simplify right side
    27,055x = 465,778,567.36
  5. Step 5: Solve for x
    x = 465,778,567.36/27,055
  6. Step 6: Final answer
    x = 17,215.99

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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.