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Finding the Fourth Proportional to 6,853.32, 9,457.68 and 4,022.64

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Solution

The fourth proportional to 6,853.32, 9,457.68 and 4,022.64 is: 5,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.32 : 9,457.68 = 4,022.64 : x
  2. Step 2: Convert to fraction form
    6,853.32/9,457.68 = 4,022.64/x
  3. Step 3: Cross multiply
    6,853.32x = 9,457.68 × 4,022.64
  4. Step 4: Simplify right side
    6,853.32x = 38,044,841.88
  5. Step 5: Solve for x
    x = 38,044,841.88/6,853.32
  6. Step 6: Final answer
    x = 5,551.30

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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.