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Finding the Fourth Proportional to 6,174.72, 8,524.80 and 4,080.64

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Solution

The fourth proportional to 6,174.72, 8,524.80 and 4,080.64 is: 5,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 8,524.80 = 4,080.64 : x
  2. Step 2: Convert to fraction form
    6,174.72/8,524.80 = 4,080.64/x
  3. Step 3: Cross multiply
    6,174.72x = 8,524.80 × 4,080.64
  4. Step 4: Simplify right side
    6,174.72x = 34,786,639.87
  5. Step 5: Solve for x
    x = 34,786,639.87/6,174.72
  6. Step 6: Final answer
    x = 5,633.72

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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.