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Finding the Fourth Proportional to 7,107.72, 9,787.14 and 5,610.84

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Solution

The fourth proportional to 7,107.72, 9,787.14 and 5,610.84 is: 7,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.72 : 9,787.14 = 5,610.84 : x
  2. Step 2: Convert to fraction form
    7,107.72/9,787.14 = 5,610.84/x
  3. Step 3: Cross multiply
    7,107.72x = 9,787.14 × 5,610.84
  4. Step 4: Simplify right side
    7,107.72x = 54,914,076.60
  5. Step 5: Solve for x
    x = 54,914,076.60/7,107.72
  6. Step 6: Final answer
    x = 7,725.98

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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.