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Finding the Fourth Proportional to 4,645.92, 6,964.56 and 3,185.76

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Solution

The fourth proportional to 4,645.92, 6,964.56 and 3,185.76 is: 4,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.92 : 6,964.56 = 3,185.76 : x
  2. Step 2: Convert to fraction form
    4,645.92/6,964.56 = 3,185.76/x
  3. Step 3: Cross multiply
    4,645.92x = 6,964.56 × 3,185.76
  4. Step 4: Simplify right side
    4,645.92x = 22,187,416.67
  5. Step 5: Solve for x
    x = 22,187,416.67/4,645.92
  6. Step 6: Final answer
    x = 4,775.68

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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.