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Finding the Fourth Proportional to 11,573.05, 15,970.82 and 6,267.88

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Solution

The fourth proportional to 11,573.05, 15,970.82 and 6,267.88 is: 8,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.05 : 15,970.82 = 6,267.88 : x
  2. Step 2: Convert to fraction form
    11,573.05/15,970.82 = 6,267.88/x
  3. Step 3: Cross multiply
    11,573.05x = 15,970.82 × 6,267.88
  4. Step 4: Simplify right side
    11,573.05x = 100,103,183.26
  5. Step 5: Solve for x
    x = 100,103,183.26/11,573.05
  6. Step 6: Final answer
    x = 8,649.68

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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.