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Finding the Fourth Proportional to 6,322.64, 9,484.00 and 2,574.49

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Solution

The fourth proportional to 6,322.64, 9,484.00 and 2,574.49 is: 3,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.64 : 9,484.00 = 2,574.49 : x
  2. Step 2: Convert to fraction form
    6,322.64/9,484.00 = 2,574.49/x
  3. Step 3: Cross multiply
    6,322.64x = 9,484.00 × 2,574.49
  4. Step 4: Simplify right side
    6,322.64x = 24,416,450.80
  5. Step 5: Solve for x
    x = 24,416,450.80/6,322.64
  6. Step 6: Final answer
    x = 3,861.75

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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.