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Finding the Fourth Proportional to 8,097.80, 11,174.94 and 4,741.24

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Solution

The fourth proportional to 8,097.80, 11,174.94 and 4,741.24 is: 6,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.80 : 11,174.94 = 4,741.24 : x
  2. Step 2: Convert to fraction form
    8,097.80/11,174.94 = 4,741.24/x
  3. Step 3: Cross multiply
    8,097.80x = 11,174.94 × 4,741.24
  4. Step 4: Simplify right side
    8,097.80x = 52,983,072.53
  5. Step 5: Solve for x
    x = 52,983,072.53/8,097.80
  6. Step 6: Final answer
    x = 6,542.90

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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.