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Finding the Fourth Proportional to 11,572.50, 15,969.98 and 6,267.26

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Solution

The fourth proportional to 11,572.50, 15,969.98 and 6,267.26 is: 8,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.50 : 15,969.98 = 6,267.26 : x
  2. Step 2: Convert to fraction form
    11,572.50/15,969.98 = 6,267.26/x
  3. Step 3: Cross multiply
    11,572.50x = 15,969.98 × 6,267.26
  4. Step 4: Simplify right side
    11,572.50x = 100,088,016.85
  5. Step 5: Solve for x
    x = 100,088,016.85/11,572.50
  6. Step 6: Final answer
    x = 8,648.78

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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.