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Finding the Fourth Proportional to 4,463.62, 6,697.05 and 1,542.22

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Solution

The fourth proportional to 4,463.62, 6,697.05 and 1,542.22 is: 2,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.62 : 6,697.05 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    4,463.62/6,697.05 = 1,542.22/x
  3. Step 3: Cross multiply
    4,463.62x = 6,697.05 × 1,542.22
  4. Step 4: Simplify right side
    4,463.62x = 10,328,324.45
  5. Step 5: Solve for x
    x = 10,328,324.45/4,463.62
  6. Step 6: Final answer
    x = 2,313.89

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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.