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Finding the Fourth Proportional to 4,747.22, 7,084.79 and 4,636.65

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Solution

The fourth proportional to 4,747.22, 7,084.79 and 4,636.65 is: 6,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.22 : 7,084.79 = 4,636.65 : x
  2. Step 2: Convert to fraction form
    4,747.22/7,084.79 = 4,636.65/x
  3. Step 3: Cross multiply
    4,747.22x = 7,084.79 × 4,636.65
  4. Step 4: Simplify right side
    4,747.22x = 32,849,703.15
  5. Step 5: Solve for x
    x = 32,849,703.15/4,747.22
  6. Step 6: Final answer
    x = 6,919.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.