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Finding the Fourth Proportional to 6,581.49, 9,866.68 and 3,069.64

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Solution

The fourth proportional to 6,581.49, 9,866.68 and 3,069.64 is: 4,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.49 : 9,866.68 = 3,069.64 : x
  2. Step 2: Convert to fraction form
    6,581.49/9,866.68 = 3,069.64/x
  3. Step 3: Cross multiply
    6,581.49x = 9,866.68 × 3,069.64
  4. Step 4: Simplify right side
    6,581.49x = 30,287,164.91
  5. Step 5: Solve for x
    x = 30,287,164.91/6,581.49
  6. Step 6: Final answer
    x = 4,601.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.