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Finding the Fourth Proportional to 6,401.49, 8,832.97 and 3,568.24

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Solution

The fourth proportional to 6,401.49, 8,832.97 and 3,568.24 is: 4,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.49 : 8,832.97 = 3,568.24 : x
  2. Step 2: Convert to fraction form
    6,401.49/8,832.97 = 3,568.24/x
  3. Step 3: Cross multiply
    6,401.49x = 8,832.97 × 3,568.24
  4. Step 4: Simplify right side
    6,401.49x = 31,518,156.87
  5. Step 5: Solve for x
    x = 31,518,156.87/6,401.49
  6. Step 6: Final answer
    x = 4,923.57

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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.