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Finding the Fourth Proportional to 8,206.35, 11,324.07 and 4,621.11

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Solution

The fourth proportional to 8,206.35, 11,324.07 and 4,621.11 is: 6,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.35 : 11,324.07 = 4,621.11 : x
  2. Step 2: Convert to fraction form
    8,206.35/11,324.07 = 4,621.11/x
  3. Step 3: Cross multiply
    8,206.35x = 11,324.07 × 4,621.11
  4. Step 4: Simplify right side
    8,206.35x = 52,329,773.12
  5. Step 5: Solve for x
    x = 52,329,773.12/8,206.35
  6. Step 6: Final answer
    x = 6,376.74

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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.