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Finding the Fourth Proportional to 6,297.86, 9,416.82 and 5,747.06

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Solution

The fourth proportional to 6,297.86, 9,416.82 and 5,747.06 is: 8,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.86 : 9,416.82 = 5,747.06 : x
  2. Step 2: Convert to fraction form
    6,297.86/9,416.82 = 5,747.06/x
  3. Step 3: Cross multiply
    6,297.86x = 9,416.82 × 5,747.06
  4. Step 4: Simplify right side
    6,297.86x = 54,119,029.55
  5. Step 5: Solve for x
    x = 54,119,029.55/6,297.86
  6. Step 6: Final answer
    x = 8,593.24

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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.