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Finding the Fourth Proportional to 9,960.52, 14,940.77 and 2,564.92

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Solution

The fourth proportional to 9,960.52, 14,940.77 and 2,564.92 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.52 : 14,940.77 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    9,960.52/14,940.77 = 2,564.92/x
  3. Step 3: Cross multiply
    9,960.52x = 14,940.77 × 2,564.92
  4. Step 4: Simplify right side
    9,960.52x = 38,321,879.79
  5. Step 5: Solve for x
    x = 38,321,879.79/9,960.52
  6. Step 6: Final answer
    x = 3,847.38

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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.