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Finding the Fourth Proportional to 6,714.50, 9,269.37 and 4,198.01

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Solution

The fourth proportional to 6,714.50, 9,269.37 and 4,198.01 is: 5,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.50 : 9,269.37 = 4,198.01 : x
  2. Step 2: Convert to fraction form
    6,714.50/9,269.37 = 4,198.01/x
  3. Step 3: Cross multiply
    6,714.50x = 9,269.37 × 4,198.01
  4. Step 4: Simplify right side
    6,714.50x = 38,912,861.61
  5. Step 5: Solve for x
    x = 38,912,861.61/6,714.50
  6. Step 6: Final answer
    x = 5,795.35

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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.