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Finding the Fourth Proportional to 6,992.84, 10,491.10 and 3,483.88

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Solution

The fourth proportional to 6,992.84, 10,491.10 and 3,483.88 is: 5,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.84 : 10,491.10 = 3,483.88 : x
  2. Step 2: Convert to fraction form
    6,992.84/10,491.10 = 3,483.88/x
  3. Step 3: Cross multiply
    6,992.84x = 10,491.10 × 3,483.88
  4. Step 4: Simplify right side
    6,992.84x = 36,549,733.47
  5. Step 5: Solve for x
    x = 36,549,733.47/6,992.84
  6. Step 6: Final answer
    x = 5,226.74

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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.