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Finding the Fourth Proportional to 7,329, 10,114.74 and 4,185.24

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Solution

The fourth proportional to 7,329, 10,114.74 and 4,185.24 is: 5,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329 : 10,114.74 = 4,185.24 : x
  2. Step 2: Convert to fraction form
    7,329/10,114.74 = 4,185.24/x
  3. Step 3: Cross multiply
    7,329x = 10,114.74 × 4,185.24
  4. Step 4: Simplify right side
    7,329x = 42,332,614.44
  5. Step 5: Solve for x
    x = 42,332,614.44/7,329
  6. Step 6: Final answer
    x = 5,776.04

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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.