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Finding the Fourth Proportional to 6,665.91, 9,199.14 and 3,641.22

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Solution

The fourth proportional to 6,665.91, 9,199.14 and 3,641.22 is: 5,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.91 : 9,199.14 = 3,641.22 : x
  2. Step 2: Convert to fraction form
    6,665.91/9,199.14 = 3,641.22/x
  3. Step 3: Cross multiply
    6,665.91x = 9,199.14 × 3,641.22
  4. Step 4: Simplify right side
    6,665.91x = 33,496,028.35
  5. Step 5: Solve for x
    x = 33,496,028.35/6,665.91
  6. Step 6: Final answer
    x = 5,024.98

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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.