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Finding the Fourth Proportional to 6,143.52, 8,477.78 and 3,757.49

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Solution

The fourth proportional to 6,143.52, 8,477.78 and 3,757.49 is: 5,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.52 : 8,477.78 = 3,757.49 : x
  2. Step 2: Convert to fraction form
    6,143.52/8,477.78 = 3,757.49/x
  3. Step 3: Cross multiply
    6,143.52x = 8,477.78 × 3,757.49
  4. Step 4: Simplify right side
    6,143.52x = 31,855,161.36
  5. Step 5: Solve for x
    x = 31,855,161.36/6,143.52
  6. Step 6: Final answer
    x = 5,185.16

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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.