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Finding the Fourth Proportional to 11,776.41, 17,639.91 and 9,562.68

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Solution

The fourth proportional to 11,776.41, 17,639.91 and 9,562.68 is: 14,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.41 : 17,639.91 = 9,562.68 : x
  2. Step 2: Convert to fraction form
    11,776.41/17,639.91 = 9,562.68/x
  3. Step 3: Cross multiply
    11,776.41x = 17,639.91 × 9,562.68
  4. Step 4: Simplify right side
    11,776.41x = 168,684,814.56
  5. Step 5: Solve for x
    x = 168,684,814.56/11,776.41
  6. Step 6: Final answer
    x = 14,323.96

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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.