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Finding the Fourth Proportional to 4,673.78, 6,446.97 and 2,784.12

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Solution

The fourth proportional to 4,673.78, 6,446.97 and 2,784.12 is: 3,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.78 : 6,446.97 = 2,784.12 : x
  2. Step 2: Convert to fraction form
    4,673.78/6,446.97 = 2,784.12/x
  3. Step 3: Cross multiply
    4,673.78x = 6,446.97 × 2,784.12
  4. Step 4: Simplify right side
    4,673.78x = 17,949,138.12
  5. Step 5: Solve for x
    x = 17,949,138.12/4,673.78
  6. Step 6: Final answer
    x = 3,840.39

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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.