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Finding the Fourth Proportional to 4,874.25, 6,726.47 and 2,666.25

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Solution

The fourth proportional to 4,874.25, 6,726.47 and 2,666.25 is: 3,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.25 : 6,726.47 = 2,666.25 : x
  2. Step 2: Convert to fraction form
    4,874.25/6,726.47 = 2,666.25/x
  3. Step 3: Cross multiply
    4,874.25x = 6,726.47 × 2,666.25
  4. Step 4: Simplify right side
    4,874.25x = 17,934,437.31
  5. Step 5: Solve for x
    x = 17,934,437.31/4,874.25
  6. Step 6: Final answer
    x = 3,679.43

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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.