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Finding the Fourth Proportional to 8,561.46, 11,834.73 and 8,212.62

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Solution

The fourth proportional to 8,561.46, 11,834.73 and 8,212.62 is: 11,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.46 : 11,834.73 = 8,212.62 : x
  2. Step 2: Convert to fraction form
    8,561.46/11,834.73 = 8,212.62/x
  3. Step 3: Cross multiply
    8,561.46x = 11,834.73 × 8,212.62
  4. Step 4: Simplify right side
    8,561.46x = 97,194,140.29
  5. Step 5: Solve for x
    x = 97,194,140.29/8,561.46
  6. Step 6: Final answer
    x = 11,352.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.