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Finding the Fourth Proportional to 27,858.72, 41,788.18 and 7,082.22

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Solution

The fourth proportional to 27,858.72, 41,788.18 and 7,082.22 is: 10,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.72 : 41,788.18 = 7,082.22 : x
  2. Step 2: Convert to fraction form
    27,858.72/41,788.18 = 7,082.22/x
  3. Step 3: Cross multiply
    27,858.72x = 41,788.18 × 7,082.22
  4. Step 4: Simplify right side
    27,858.72x = 295,953,084.16
  5. Step 5: Solve for x
    x = 295,953,084.16/27,858.72
  6. Step 6: Final answer
    x = 10,623.36

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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.