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Finding the Fourth Proportional to 8,166.82, 11,269.87 and 4,809.77

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Solution

The fourth proportional to 8,166.82, 11,269.87 and 4,809.77 is: 6,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.82 : 11,269.87 = 4,809.77 : x
  2. Step 2: Convert to fraction form
    8,166.82/11,269.87 = 4,809.77/x
  3. Step 3: Cross multiply
    8,166.82x = 11,269.87 × 4,809.77
  4. Step 4: Simplify right side
    8,166.82x = 54,205,482.63
  5. Step 5: Solve for x
    x = 54,205,482.63/8,166.82
  6. Step 6: Final answer
    x = 6,637.29

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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.