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Finding the Fourth Proportional to 6,142.53, 9,213.77 and 2,443.77

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Solution

The fourth proportional to 6,142.53, 9,213.77 and 2,443.77 is: 3,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.53 : 9,213.77 = 2,443.77 : x
  2. Step 2: Convert to fraction form
    6,142.53/9,213.77 = 2,443.77/x
  3. Step 3: Cross multiply
    6,142.53x = 9,213.77 × 2,443.77
  4. Step 4: Simplify right side
    6,142.53x = 22,516,322.49
  5. Step 5: Solve for x
    x = 22,516,322.49/6,142.53
  6. Step 6: Final answer
    x = 3,665.64

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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.