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Finding the Fourth Proportional to 6,394.16, 9,590.96 and 2,234.16

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Solution

The fourth proportional to 6,394.16, 9,590.96 and 2,234.16 is: 3,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.16 : 9,590.96 = 2,234.16 : x
  2. Step 2: Convert to fraction form
    6,394.16/9,590.96 = 2,234.16/x
  3. Step 3: Cross multiply
    6,394.16x = 9,590.96 × 2,234.16
  4. Step 4: Simplify right side
    6,394.16x = 21,427,728.02
  5. Step 5: Solve for x
    x = 21,427,728.02/6,394.16
  6. Step 6: Final answer
    x = 3,351.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.