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Finding the Fourth Proportional to 13,227.86, 18,254.88 and 7,259.85

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Solution

The fourth proportional to 13,227.86, 18,254.88 and 7,259.85 is: 10,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.86 : 18,254.88 = 7,259.85 : x
  2. Step 2: Convert to fraction form
    13,227.86/18,254.88 = 7,259.85/x
  3. Step 3: Cross multiply
    13,227.86x = 18,254.88 × 7,259.85
  4. Step 4: Simplify right side
    13,227.86x = 132,527,786.25
  5. Step 5: Solve for x
    x = 132,527,786.25/13,227.86
  6. Step 6: Final answer
    x = 10,018.84

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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.