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Finding the Fourth Proportional to 6,196.84, 9,298.44 and 4,118.27

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Solution

The fourth proportional to 6,196.84, 9,298.44 and 4,118.27 is: 6,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.84 : 9,298.44 = 4,118.27 : x
  2. Step 2: Convert to fraction form
    6,196.84/9,298.44 = 4,118.27/x
  3. Step 3: Cross multiply
    6,196.84x = 9,298.44 × 4,118.27
  4. Step 4: Simplify right side
    6,196.84x = 38,293,486.50
  5. Step 5: Solve for x
    x = 38,293,486.50/6,196.84
  6. Step 6: Final answer
    x = 6,179.52

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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.