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Finding the Fourth Proportional to 5,922.64, 8,174.24 and 5,660.20

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Solution

The fourth proportional to 5,922.64, 8,174.24 and 5,660.20 is: 7,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.64 : 8,174.24 = 5,660.20 : x
  2. Step 2: Convert to fraction form
    5,922.64/8,174.24 = 5,660.20/x
  3. Step 3: Cross multiply
    5,922.64x = 8,174.24 × 5,660.20
  4. Step 4: Simplify right side
    5,922.64x = 46,267,833.25
  5. Step 5: Solve for x
    x = 46,267,833.25/5,922.64
  6. Step 6: Final answer
    x = 7,812.03

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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.