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Finding the Fourth Proportional to 6,173.76, 8,520.24 and 4,074.24

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Solution

The fourth proportional to 6,173.76, 8,520.24 and 4,074.24 is: 5,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.76 : 8,520.24 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    6,173.76/8,520.24 = 4,074.24/x
  3. Step 3: Cross multiply
    6,173.76x = 8,520.24 × 4,074.24
  4. Step 4: Simplify right side
    6,173.76x = 34,713,502.62
  5. Step 5: Solve for x
    x = 34,713,502.62/6,173.76
  6. Step 6: Final answer
    x = 5,622.75

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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.