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Finding the Fourth Proportional to 27,993.96, 41,998.50 and 10,465.56

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Solution

The fourth proportional to 27,993.96, 41,998.50 and 10,465.56 is: 15,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.96 : 41,998.50 = 10,465.56 : x
  2. Step 2: Convert to fraction form
    27,993.96/41,998.50 = 10,465.56/x
  3. Step 3: Cross multiply
    27,993.96x = 41,998.50 × 10,465.56
  4. Step 4: Simplify right side
    27,993.96x = 439,537,821.66
  5. Step 5: Solve for x
    x = 439,537,821.66/27,993.96
  6. Step 6: Final answer
    x = 15,701.17

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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.