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Finding the Fourth Proportional to 27,765.50, 41,645.19 and 6,989

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Solution

The fourth proportional to 27,765.50, 41,645.19 and 6,989 is: 10,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.50 : 41,645.19 = 6,989 : x
  2. Step 2: Convert to fraction form
    27,765.50/41,645.19 = 6,989/x
  3. Step 3: Cross multiply
    27,765.50x = 41,645.19 × 6,989
  4. Step 4: Simplify right side
    27,765.50x = 291,058,232.91
  5. Step 5: Solve for x
    x = 291,058,232.91/27,765.50
  6. Step 6: Final answer
    x = 10,482.73

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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.