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Finding the Fourth Proportional to 6,498.62, 9,742.96 and 5,384.62

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Solution

The fourth proportional to 6,498.62, 9,742.96 and 5,384.62 is: 8,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.62 : 9,742.96 = 5,384.62 : x
  2. Step 2: Convert to fraction form
    6,498.62/9,742.96 = 5,384.62/x
  3. Step 3: Cross multiply
    6,498.62x = 9,742.96 × 5,384.62
  4. Step 4: Simplify right side
    6,498.62x = 52,462,088.56
  5. Step 5: Solve for x
    x = 52,462,088.56/6,498.62
  6. Step 6: Final answer
    x = 8,072.80

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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.