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Finding the Fourth Proportional to 4,916, 6,784.89 and 2,819.72

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Solution

The fourth proportional to 4,916, 6,784.89 and 2,819.72 is: 3,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916 : 6,784.89 = 2,819.72 : x
  2. Step 2: Convert to fraction form
    4,916/6,784.89 = 2,819.72/x
  3. Step 3: Cross multiply
    4,916x = 6,784.89 × 2,819.72
  4. Step 4: Simplify right side
    4,916x = 19,131,490.03
  5. Step 5: Solve for x
    x = 19,131,490.03/4,916
  6. Step 6: Final answer
    x = 3,891.68

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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.