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Finding the Fourth Proportional to 7,865.97, 10,855.11 and 4,329.24

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Solution

The fourth proportional to 7,865.97, 10,855.11 and 4,329.24 is: 5,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.97 : 10,855.11 = 4,329.24 : x
  2. Step 2: Convert to fraction form
    7,865.97/10,855.11 = 4,329.24/x
  3. Step 3: Cross multiply
    7,865.97x = 10,855.11 × 4,329.24
  4. Step 4: Simplify right side
    7,865.97x = 46,994,376.42
  5. Step 5: Solve for x
    x = 46,994,376.42/7,865.97
  6. Step 6: Final answer
    x = 5,974.39

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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.