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Finding the Fourth Proportional to 8,227.88, 11,354.64 and 4,869.47

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Solution

The fourth proportional to 8,227.88, 11,354.64 and 4,869.47 is: 6,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.88 : 11,354.64 = 4,869.47 : x
  2. Step 2: Convert to fraction form
    8,227.88/11,354.64 = 4,869.47/x
  3. Step 3: Cross multiply
    8,227.88x = 11,354.64 × 4,869.47
  4. Step 4: Simplify right side
    8,227.88x = 55,291,078.84
  5. Step 5: Solve for x
    x = 55,291,078.84/8,227.88
  6. Step 6: Final answer
    x = 6,719.97

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1.5x scale

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.