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Finding the Fourth Proportional to 4,828.14, 7,245.87 and 3,184.14

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Solution

The fourth proportional to 4,828.14, 7,245.87 and 3,184.14 is: 4,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.14 : 7,245.87 = 3,184.14 : x
  2. Step 2: Convert to fraction form
    4,828.14/7,245.87 = 3,184.14/x
  3. Step 3: Cross multiply
    4,828.14x = 7,245.87 × 3,184.14
  4. Step 4: Simplify right side
    4,828.14x = 23,071,864.50
  5. Step 5: Solve for x
    x = 23,071,864.50/4,828.14
  6. Step 6: Final answer
    x = 4,778.62

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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.