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Finding the Fourth Proportional to 7,093.50, 10,642.28 and 2,414.54

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Solution

The fourth proportional to 7,093.50, 10,642.28 and 2,414.54 is: 3,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.50 : 10,642.28 = 2,414.54 : x
  2. Step 2: Convert to fraction form
    7,093.50/10,642.28 = 2,414.54/x
  3. Step 3: Cross multiply
    7,093.50x = 10,642.28 × 2,414.54
  4. Step 4: Simplify right side
    7,093.50x = 25,696,145.47
  5. Step 5: Solve for x
    x = 25,696,145.47/7,093.50
  6. Step 6: Final answer
    x = 3,622.49

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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.