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Finding the Fourth Proportional to 9,967.65, 13,761.26 and 8,860.58

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Solution

The fourth proportional to 9,967.65, 13,761.26 and 8,860.58 is: 12,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.65 : 13,761.26 = 8,860.58 : x
  2. Step 2: Convert to fraction form
    9,967.65/13,761.26 = 8,860.58/x
  3. Step 3: Cross multiply
    9,967.65x = 13,761.26 × 8,860.58
  4. Step 4: Simplify right side
    9,967.65x = 121,932,745.13
  5. Step 5: Solve for x
    x = 121,932,745.13/9,967.65
  6. Step 6: Final answer
    x = 12,232.85

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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.