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Finding the Fourth Proportional to 7,227.76, 10,834.32 and 2,848.30

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Solution

The fourth proportional to 7,227.76, 10,834.32 and 2,848.30 is: 4,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.76 : 10,834.32 = 2,848.30 : x
  2. Step 2: Convert to fraction form
    7,227.76/10,834.32 = 2,848.30/x
  3. Step 3: Cross multiply
    7,227.76x = 10,834.32 × 2,848.30
  4. Step 4: Simplify right side
    7,227.76x = 30,859,393.66
  5. Step 5: Solve for x
    x = 30,859,393.66/7,227.76
  6. Step 6: Final answer
    x = 4,269.57

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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.