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Finding the Fourth Proportional to 6,574.64, 9,861.84 and 1,644.22

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Solution

The fourth proportional to 6,574.64, 9,861.84 and 1,644.22 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.64 : 9,861.84 = 1,644.22 : x
  2. Step 2: Convert to fraction form
    6,574.64/9,861.84 = 1,644.22/x
  3. Step 3: Cross multiply
    6,574.64x = 9,861.84 × 1,644.22
  4. Step 4: Simplify right side
    6,574.64x = 16,215,034.56
  5. Step 5: Solve for x
    x = 16,215,034.56/6,574.64
  6. Step 6: Final answer
    x = 2,466.30

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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.