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Finding the Fourth Proportional to 8,167.74, 11,269.74 and 4,809.32

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Solution

The fourth proportional to 8,167.74, 11,269.74 and 4,809.32 is: 6,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.74 : 11,269.74 = 4,809.32 : x
  2. Step 2: Convert to fraction form
    8,167.74/11,269.74 = 4,809.32/x
  3. Step 3: Cross multiply
    8,167.74x = 11,269.74 × 4,809.32
  4. Step 4: Simplify right side
    8,167.74x = 54,199,796.12
  5. Step 5: Solve for x
    x = 54,199,796.12/8,167.74
  6. Step 6: Final answer
    x = 6,635.84

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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.