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Finding the Fourth Proportional to 7,093.68, 9,797.88 and 5,202.54

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Solution

The fourth proportional to 7,093.68, 9,797.88 and 5,202.54 is: 7,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.68 : 9,797.88 = 5,202.54 : x
  2. Step 2: Convert to fraction form
    7,093.68/9,797.88 = 5,202.54/x
  3. Step 3: Cross multiply
    7,093.68x = 9,797.88 × 5,202.54
  4. Step 4: Simplify right side
    7,093.68x = 50,973,787.61
  5. Step 5: Solve for x
    x = 50,973,787.61/7,093.68
  6. Step 6: Final answer
    x = 7,185.80

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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.