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Finding the Fourth Proportional to 8,164.98, 11,267.64 and 4,807.77

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Solution

The fourth proportional to 8,164.98, 11,267.64 and 4,807.77 is: 6,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.98 : 11,267.64 = 4,807.77 : x
  2. Step 2: Convert to fraction form
    8,164.98/11,267.64 = 4,807.77/x
  3. Step 3: Cross multiply
    8,164.98x = 11,267.64 × 4,807.77
  4. Step 4: Simplify right side
    8,164.98x = 54,172,221.56
  5. Step 5: Solve for x
    x = 54,172,221.56/8,164.98
  6. Step 6: Final answer
    x = 6,634.70

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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.