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Finding the Fourth Proportional to 4,677.78, 6,463.56 and 3,741.31

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Solution

The fourth proportional to 4,677.78, 6,463.56 and 3,741.31 is: 5,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.78 : 6,463.56 = 3,741.31 : x
  2. Step 2: Convert to fraction form
    4,677.78/6,463.56 = 3,741.31/x
  3. Step 3: Cross multiply
    4,677.78x = 6,463.56 × 3,741.31
  4. Step 4: Simplify right side
    4,677.78x = 24,182,181.66
  5. Step 5: Solve for x
    x = 24,182,181.66/4,677.78
  6. Step 6: Final answer
    x = 5,169.59

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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.