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Finding the Fourth Proportional to 8,364.27, 11,542.28 and 4,827.27

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Solution

The fourth proportional to 8,364.27, 11,542.28 and 4,827.27 is: 6,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.27 : 11,542.28 = 4,827.27 : x
  2. Step 2: Convert to fraction form
    8,364.27/11,542.28 = 4,827.27/x
  3. Step 3: Cross multiply
    8,364.27x = 11,542.28 × 4,827.27
  4. Step 4: Simplify right side
    8,364.27x = 55,717,677.84
  5. Step 5: Solve for x
    x = 55,717,677.84/8,364.27
  6. Step 6: Final answer
    x = 6,661.39

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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.