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Finding the Fourth Proportional to 7,797.54, 11,748.93 and 6,441.26

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Solution

The fourth proportional to 7,797.54, 11,748.93 and 6,441.26 is: 9,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.54 : 11,748.93 = 6,441.26 : x
  2. Step 2: Convert to fraction form
    7,797.54/11,748.93 = 6,441.26/x
  3. Step 3: Cross multiply
    7,797.54x = 11,748.93 × 6,441.26
  4. Step 4: Simplify right side
    7,797.54x = 75,677,912.85
  5. Step 5: Solve for x
    x = 75,677,912.85/7,797.54
  6. Step 6: Final answer
    x = 9,705.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.