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Finding the Fourth Proportional to 13,204.91, 18,222.77 and 7,615.91

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Solution

The fourth proportional to 13,204.91, 18,222.77 and 7,615.91 is: 10,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.91 : 18,222.77 = 7,615.91 : x
  2. Step 2: Convert to fraction form
    13,204.91/18,222.77 = 7,615.91/x
  3. Step 3: Cross multiply
    13,204.91x = 18,222.77 × 7,615.91
  4. Step 4: Simplify right side
    13,204.91x = 138,782,976.27
  5. Step 5: Solve for x
    x = 138,782,976.27/13,204.91
  6. Step 6: Final answer
    x = 10,509.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.