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Finding the Fourth Proportional to 11,641.08, 16,064.22 and 6,335.88

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Solution

The fourth proportional to 11,641.08, 16,064.22 and 6,335.88 is: 8,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.08 : 16,064.22 = 6,335.88 : x
  2. Step 2: Convert to fraction form
    11,641.08/16,064.22 = 6,335.88/x
  3. Step 3: Cross multiply
    11,641.08x = 16,064.22 × 6,335.88
  4. Step 4: Simplify right side
    11,641.08x = 101,780,970.21
  5. Step 5: Solve for x
    x = 101,780,970.21/11,641.08
  6. Step 6: Final answer
    x = 8,743.26

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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.