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Finding the Fourth Proportional to 10,957.75, 16,450.74 and 9,407.71

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Solution

The fourth proportional to 10,957.75, 16,450.74 and 9,407.71 is: 14,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.75 : 16,450.74 = 9,407.71 : x
  2. Step 2: Convert to fraction form
    10,957.75/16,450.74 = 9,407.71/x
  3. Step 3: Cross multiply
    10,957.75x = 16,450.74 × 9,407.71
  4. Step 4: Simplify right side
    10,957.75x = 154,763,791.21
  5. Step 5: Solve for x
    x = 154,763,791.21/10,957.75
  6. Step 6: Final answer
    x = 14,123.68

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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.