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Finding the Fourth Proportional to 10,911.84, 15,058.44 and 5,943.84

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Solution

The fourth proportional to 10,911.84, 15,058.44 and 5,943.84 is: 8,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.84 : 15,058.44 = 5,943.84 : x
  2. Step 2: Convert to fraction form
    10,911.84/15,058.44 = 5,943.84/x
  3. Step 3: Cross multiply
    10,911.84x = 15,058.44 × 5,943.84
  4. Step 4: Simplify right side
    10,911.84x = 89,504,958.01
  5. Step 5: Solve for x
    x = 89,504,958.01/10,911.84
  6. Step 6: Final answer
    x = 8,202.55

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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.