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Finding the Fourth Proportional to 9,772.58, 14,550.13 and 9,634.55

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Solution

The fourth proportional to 9,772.58, 14,550.13 and 9,634.55 is: 14,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.58 : 14,550.13 = 9,634.55 : x
  2. Step 2: Convert to fraction form
    9,772.58/14,550.13 = 9,634.55/x
  3. Step 3: Cross multiply
    9,772.58x = 14,550.13 × 9,634.55
  4. Step 4: Simplify right side
    9,772.58x = 140,183,954.99
  5. Step 5: Solve for x
    x = 140,183,954.99/9,772.58
  6. Step 6: Final answer
    x = 14,344.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.