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Finding the Fourth Proportional to 7,367.01, 10,170.24 and 5,684.64

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Solution

The fourth proportional to 7,367.01, 10,170.24 and 5,684.64 is: 7,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.01 : 10,170.24 = 5,684.64 : x
  2. Step 2: Convert to fraction form
    7,367.01/10,170.24 = 5,684.64/x
  3. Step 3: Cross multiply
    7,367.01x = 10,170.24 × 5,684.64
  4. Step 4: Simplify right side
    7,367.01x = 57,814,153.11
  5. Step 5: Solve for x
    x = 57,814,153.11/7,367.01
  6. Step 6: Final answer
    x = 7,847.71

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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.