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Finding the Fourth Proportional to 4,456.74, 6,694.78 and 3,484.74

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Solution

The fourth proportional to 4,456.74, 6,694.78 and 3,484.74 is: 5,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.74 : 6,694.78 = 3,484.74 : x
  2. Step 2: Convert to fraction form
    4,456.74/6,694.78 = 3,484.74/x
  3. Step 3: Cross multiply
    4,456.74x = 6,694.78 × 3,484.74
  4. Step 4: Simplify right side
    4,456.74x = 23,329,567.66
  5. Step 5: Solve for x
    x = 23,329,567.66/4,456.74
  6. Step 6: Final answer
    x = 5,234.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.