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Finding the Fourth Proportional to 9,462.86, 14,127.74 and 7,229.99

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Solution

The fourth proportional to 9,462.86, 14,127.74 and 7,229.99 is: 10,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.86 : 14,127.74 = 7,229.99 : x
  2. Step 2: Convert to fraction form
    9,462.86/14,127.74 = 7,229.99/x
  3. Step 3: Cross multiply
    9,462.86x = 14,127.74 × 7,229.99
  4. Step 4: Simplify right side
    9,462.86x = 102,143,418.92
  5. Step 5: Solve for x
    x = 102,143,418.92/9,462.86
  6. Step 6: Final answer
    x = 10,794.14

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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.