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Finding the Fourth Proportional to 7,856.69, 11,793.24 and 3,477.23

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Solution

The fourth proportional to 7,856.69, 11,793.24 and 3,477.23 is: 5,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.69 : 11,793.24 = 3,477.23 : x
  2. Step 2: Convert to fraction form
    7,856.69/11,793.24 = 3,477.23/x
  3. Step 3: Cross multiply
    7,856.69x = 11,793.24 × 3,477.23
  4. Step 4: Simplify right side
    7,856.69x = 41,007,731.57
  5. Step 5: Solve for x
    x = 41,007,731.57/7,856.69
  6. Step 6: Final answer
    x = 5,219.47

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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.