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Finding the Fourth Proportional to 6,537.60, 9,024.21 and 3,885

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Solution

The fourth proportional to 6,537.60, 9,024.21 and 3,885 is: 5,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.60 : 9,024.21 = 3,885 : x
  2. Step 2: Convert to fraction form
    6,537.60/9,024.21 = 3,885/x
  3. Step 3: Cross multiply
    6,537.60x = 9,024.21 × 3,885
  4. Step 4: Simplify right side
    6,537.60x = 35,059,055.85
  5. Step 5: Solve for x
    x = 35,059,055.85/6,537.60
  6. Step 6: Final answer
    x = 5,362.68

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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.