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Finding the Fourth Proportional to 7,231.84, 10,847.04 and 4,906.76

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Solution

The fourth proportional to 7,231.84, 10,847.04 and 4,906.76 is: 7,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.84 : 10,847.04 = 4,906.76 : x
  2. Step 2: Convert to fraction form
    7,231.84/10,847.04 = 4,906.76/x
  3. Step 3: Cross multiply
    7,231.84x = 10,847.04 × 4,906.76
  4. Step 4: Simplify right side
    7,231.84x = 53,223,821.99
  5. Step 5: Solve for x
    x = 53,223,821.99/7,231.84
  6. Step 6: Final answer
    x = 7,359.65

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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.