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Finding the Fourth Proportional to 4,673.76, 6,456.11 and 3,736.12

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Solution

The fourth proportional to 4,673.76, 6,456.11 and 3,736.12 is: 5,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.76 : 6,456.11 = 3,736.12 : x
  2. Step 2: Convert to fraction form
    4,673.76/6,456.11 = 3,736.12/x
  3. Step 3: Cross multiply
    4,673.76x = 6,456.11 × 3,736.12
  4. Step 4: Simplify right side
    4,673.76x = 24,120,801.69
  5. Step 5: Solve for x
    x = 24,120,801.69/4,673.76
  6. Step 6: Final answer
    x = 5,160.90

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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.