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Finding the Fourth Proportional to 5,966.70, 8,233.70 and 3,313.95

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Solution

The fourth proportional to 5,966.70, 8,233.70 and 3,313.95 is: 4,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.70 : 8,233.70 = 3,313.95 : x
  2. Step 2: Convert to fraction form
    5,966.70/8,233.70 = 3,313.95/x
  3. Step 3: Cross multiply
    5,966.70x = 8,233.70 × 3,313.95
  4. Step 4: Simplify right side
    5,966.70x = 27,286,053.55
  5. Step 5: Solve for x
    x = 27,286,053.55/5,966.70
  6. Step 6: Final answer
    x = 4,573.06

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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.