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Finding the Fourth Proportional to 8,272.19, 11,411.82 and 4,913.09

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Solution

The fourth proportional to 8,272.19, 11,411.82 and 4,913.09 is: 6,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.19 : 11,411.82 = 4,913.09 : x
  2. Step 2: Convert to fraction form
    8,272.19/11,411.82 = 4,913.09/x
  3. Step 3: Cross multiply
    8,272.19x = 11,411.82 × 4,913.09
  4. Step 4: Simplify right side
    8,272.19x = 56,067,298.72
  5. Step 5: Solve for x
    x = 56,067,298.72/8,272.19
  6. Step 6: Final answer
    x = 6,777.81

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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.