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Finding the Fourth Proportional to 5,642.73, 7,775.60 and 4,654.94

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Solution

The fourth proportional to 5,642.73, 7,775.60 and 4,654.94 is: 6,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.73 : 7,775.60 = 4,654.94 : x
  2. Step 2: Convert to fraction form
    5,642.73/7,775.60 = 4,654.94/x
  3. Step 3: Cross multiply
    5,642.73x = 7,775.60 × 4,654.94
  4. Step 4: Simplify right side
    5,642.73x = 36,194,889.31
  5. Step 5: Solve for x
    x = 36,194,889.31/5,642.73
  6. Step 6: Final answer
    x = 6,414.43

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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.