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Finding the Fourth Proportional to 7,894.14, 10,893.83 and 4,357.27

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Solution

The fourth proportional to 7,894.14, 10,893.83 and 4,357.27 is: 6,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.14 : 10,893.83 = 4,357.27 : x
  2. Step 2: Convert to fraction form
    7,894.14/10,893.83 = 4,357.27/x
  3. Step 3: Cross multiply
    7,894.14x = 10,893.83 × 4,357.27
  4. Step 4: Simplify right side
    7,894.14x = 47,467,350.48
  5. Step 5: Solve for x
    x = 47,467,350.48/7,894.14
  6. Step 6: Final answer
    x = 6,012.99

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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.