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Finding the Fourth Proportional to 7,696.14, 11,542.56 and 2,431.56

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Solution

The fourth proportional to 7,696.14, 11,542.56 and 2,431.56 is: 3,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.14 : 11,542.56 = 2,431.56 : x
  2. Step 2: Convert to fraction form
    7,696.14/11,542.56 = 2,431.56/x
  3. Step 3: Cross multiply
    7,696.14x = 11,542.56 × 2,431.56
  4. Step 4: Simplify right side
    7,696.14x = 28,066,427.19
  5. Step 5: Solve for x
    x = 28,066,427.19/7,696.14
  6. Step 6: Final answer
    x = 3,646.82

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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.