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Finding the Fourth Proportional to 4,514.71, 6,772.11 and 2,174.22

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Solution

The fourth proportional to 4,514.71, 6,772.11 and 2,174.22 is: 3,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.71 : 6,772.11 = 2,174.22 : x
  2. Step 2: Convert to fraction form
    4,514.71/6,772.11 = 2,174.22/x
  3. Step 3: Cross multiply
    4,514.71x = 6,772.11 × 2,174.22
  4. Step 4: Simplify right side
    4,514.71x = 14,724,057.00
  5. Step 5: Solve for x
    x = 14,724,057.00/4,514.71
  6. Step 6: Final answer
    x = 3,261.35

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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.