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Finding the Fourth Proportional to 9,653.85, 14,491.02 and 8,550.43

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Solution

The fourth proportional to 9,653.85, 14,491.02 and 8,550.43 is: 12,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.85 : 14,491.02 = 8,550.43 : x
  2. Step 2: Convert to fraction form
    9,653.85/14,491.02 = 8,550.43/x
  3. Step 3: Cross multiply
    9,653.85x = 14,491.02 × 8,550.43
  4. Step 4: Simplify right side
    9,653.85x = 123,904,409.39
  5. Step 5: Solve for x
    x = 123,904,409.39/9,653.85
  6. Step 6: Final answer
    x = 12,834.71

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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.