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Finding the Fourth Proportional to 5,966.91, 8,233.02 and 3,609

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Solution

The fourth proportional to 5,966.91, 8,233.02 and 3,609 is: 4,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.91 : 8,233.02 = 3,609 : x
  2. Step 2: Convert to fraction form
    5,966.91/8,233.02 = 3,609/x
  3. Step 3: Cross multiply
    5,966.91x = 8,233.02 × 3,609
  4. Step 4: Simplify right side
    5,966.91x = 29,712,969.18
  5. Step 5: Solve for x
    x = 29,712,969.18/5,966.91
  6. Step 6: Final answer
    x = 4,979.62

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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.