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Finding the Fourth Proportional to 7,735.18, 11,577.11 and 7,043.44

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Solution

The fourth proportional to 7,735.18, 11,577.11 and 7,043.44 is: 10,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.18 : 11,577.11 = 7,043.44 : x
  2. Step 2: Convert to fraction form
    7,735.18/11,577.11 = 7,043.44/x
  3. Step 3: Cross multiply
    7,735.18x = 11,577.11 × 7,043.44
  4. Step 4: Simplify right side
    7,735.18x = 81,542,679.66
  5. Step 5: Solve for x
    x = 81,542,679.66/7,735.18
  6. Step 6: Final answer
    x = 10,541.79

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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.