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Finding the Fourth Proportional to 4,694.44, 6,478.82 and 3,513.44

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Solution

The fourth proportional to 4,694.44, 6,478.82 and 3,513.44 is: 4,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.44 : 6,478.82 = 3,513.44 : x
  2. Step 2: Convert to fraction form
    4,694.44/6,478.82 = 3,513.44/x
  3. Step 3: Cross multiply
    4,694.44x = 6,478.82 × 3,513.44
  4. Step 4: Simplify right side
    4,694.44x = 22,762,945.34
  5. Step 5: Solve for x
    x = 22,762,945.34/4,694.44
  6. Step 6: Final answer
    x = 4,848.92

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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.