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Finding the Fourth Proportional to 5,966.88, 8,234.28 and 3,314.28

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Solution

The fourth proportional to 5,966.88, 8,234.28 and 3,314.28 is: 4,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.88 : 8,234.28 = 3,314.28 : x
  2. Step 2: Convert to fraction form
    5,966.88/8,234.28 = 3,314.28/x
  3. Step 3: Cross multiply
    5,966.88x = 8,234.28 × 3,314.28
  4. Step 4: Simplify right side
    5,966.88x = 27,290,709.52
  5. Step 5: Solve for x
    x = 27,290,709.52/5,966.88
  6. Step 6: Final answer
    x = 4,573.70

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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.