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Finding the Fourth Proportional to 7,146.42, 10,716.99 and 2,465.22

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Solution

The fourth proportional to 7,146.42, 10,716.99 and 2,465.22 is: 3,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.42 : 10,716.99 = 2,465.22 : x
  2. Step 2: Convert to fraction form
    7,146.42/10,716.99 = 2,465.22/x
  3. Step 3: Cross multiply
    7,146.42x = 10,716.99 × 2,465.22
  4. Step 4: Simplify right side
    7,146.42x = 26,419,738.09
  5. Step 5: Solve for x
    x = 26,419,738.09/7,146.42
  6. Step 6: Final answer
    x = 3,696.92

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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.