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Finding the Fourth Proportional to 5,966.66, 8,233.99 and 3,314.31

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Solution

The fourth proportional to 5,966.66, 8,233.99 and 3,314.31 is: 4,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.66 : 8,233.99 = 3,314.31 : x
  2. Step 2: Convert to fraction form
    5,966.66/8,233.99 = 3,314.31/x
  3. Step 3: Cross multiply
    5,966.66x = 8,233.99 × 3,314.31
  4. Step 4: Simplify right side
    5,966.66x = 27,289,978.83
  5. Step 5: Solve for x
    x = 27,289,978.83/5,966.66
  6. Step 6: Final answer
    x = 4,573.75

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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.