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Finding the Fourth Proportional to 4,472.69, 6,735.82 and 4,073.66

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Solution

The fourth proportional to 4,472.69, 6,735.82 and 4,073.66 is: 6,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.69 : 6,735.82 = 4,073.66 : x
  2. Step 2: Convert to fraction form
    4,472.69/6,735.82 = 4,073.66/x
  3. Step 3: Cross multiply
    4,472.69x = 6,735.82 × 4,073.66
  4. Step 4: Simplify right side
    4,472.69x = 27,439,440.50
  5. Step 5: Solve for x
    x = 27,439,440.50/4,472.69
  6. Step 6: Final answer
    x = 6,134.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.