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Finding the Fourth Proportional to 11,572.21, 15,969.68 and 6,267

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Solution

The fourth proportional to 11,572.21, 15,969.68 and 6,267 is: 8,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.21 : 15,969.68 = 6,267 : x
  2. Step 2: Convert to fraction form
    11,572.21/15,969.68 = 6,267/x
  3. Step 3: Cross multiply
    11,572.21x = 15,969.68 × 6,267
  4. Step 4: Simplify right side
    11,572.21x = 100,081,984.56
  5. Step 5: Solve for x
    x = 100,081,984.56/11,572.21
  6. Step 6: Final answer
    x = 8,648.48

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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.