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Finding the Fourth Proportional to 9,465.22, 13,049.87 and 7,757.44

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Solution

The fourth proportional to 9,465.22, 13,049.87 and 7,757.44 is: 10,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.22 : 13,049.87 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    9,465.22/13,049.87 = 7,757.44/x
  3. Step 3: Cross multiply
    9,465.22x = 13,049.87 × 7,757.44
  4. Step 4: Simplify right side
    9,465.22x = 101,233,583.53
  5. Step 5: Solve for x
    x = 101,233,583.53/9,465.22
  6. Step 6: Final answer
    x = 10,695.32

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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.