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Finding the Fourth Proportional to 6,574.59, 9,861.89 and 2,191.77

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Solution

The fourth proportional to 6,574.59, 9,861.89 and 2,191.77 is: 3,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.59 : 9,861.89 = 2,191.77 : x
  2. Step 2: Convert to fraction form
    6,574.59/9,861.89 = 2,191.77/x
  3. Step 3: Cross multiply
    6,574.59x = 9,861.89 × 2,191.77
  4. Step 4: Simplify right side
    6,574.59x = 21,614,983.69
  5. Step 5: Solve for x
    x = 21,614,983.69/6,574.59
  6. Step 6: Final answer
    x = 3,287.66

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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.