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Finding the Fourth Proportional to 5,463.72, 8,197.18 and 1,765.86

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Solution

The fourth proportional to 5,463.72, 8,197.18 and 1,765.86 is: 2,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.72 : 8,197.18 = 1,765.86 : x
  2. Step 2: Convert to fraction form
    5,463.72/8,197.18 = 1,765.86/x
  3. Step 3: Cross multiply
    5,463.72x = 8,197.18 × 1,765.86
  4. Step 4: Simplify right side
    5,463.72x = 14,475,072.27
  5. Step 5: Solve for x
    x = 14,475,072.27/5,463.72
  6. Step 6: Final answer
    x = 2,649.31

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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.