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Finding the Fourth Proportional to 6,024.24, 9,035.24 and 1,640.68

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Solution

The fourth proportional to 6,024.24, 9,035.24 and 1,640.68 is: 2,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.24 : 9,035.24 = 1,640.68 : x
  2. Step 2: Convert to fraction form
    6,024.24/9,035.24 = 1,640.68/x
  3. Step 3: Cross multiply
    6,024.24x = 9,035.24 × 1,640.68
  4. Step 4: Simplify right side
    6,024.24x = 14,823,906.77
  5. Step 5: Solve for x
    x = 14,823,906.77/6,024.24
  6. Step 6: Final answer
    x = 2,460.71

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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.