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Finding the Fourth Proportional to 6,771.60, 9,345.27 and 3,787.47

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Solution

The fourth proportional to 6,771.60, 9,345.27 and 3,787.47 is: 5,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.60 : 9,345.27 = 3,787.47 : x
  2. Step 2: Convert to fraction form
    6,771.60/9,345.27 = 3,787.47/x
  3. Step 3: Cross multiply
    6,771.60x = 9,345.27 × 3,787.47
  4. Step 4: Simplify right side
    6,771.60x = 35,394,929.77
  5. Step 5: Solve for x
    x = 35,394,929.77/6,771.60
  6. Step 6: Final answer
    x = 5,226.97

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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.