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Finding the Fourth Proportional to 6,169.82, 8,503.98 and 4,677.26

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Solution

The fourth proportional to 6,169.82, 8,503.98 and 4,677.26 is: 6,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.82 : 8,503.98 = 4,677.26 : x
  2. Step 2: Convert to fraction form
    6,169.82/8,503.98 = 4,677.26/x
  3. Step 3: Cross multiply
    6,169.82x = 8,503.98 × 4,677.26
  4. Step 4: Simplify right side
    6,169.82x = 39,775,325.49
  5. Step 5: Solve for x
    x = 39,775,325.49/6,169.82
  6. Step 6: Final answer
    x = 6,446.76

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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.