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Finding the Fourth Proportional to 7,787.81, 11,683.87 and 4,494.89

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Solution

The fourth proportional to 7,787.81, 11,683.87 and 4,494.89 is: 6,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.81 : 11,683.87 = 4,494.89 : x
  2. Step 2: Convert to fraction form
    7,787.81/11,683.87 = 4,494.89/x
  3. Step 3: Cross multiply
    7,787.81x = 11,683.87 × 4,494.89
  4. Step 4: Simplify right side
    7,787.81x = 52,517,710.42
  5. Step 5: Solve for x
    x = 52,517,710.42/7,787.81
  6. Step 6: Final answer
    x = 6,743.58

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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.