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Finding the Fourth Proportional to 15,165.86, 20,928.84 and 8,451.44

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Solution

The fourth proportional to 15,165.86, 20,928.84 and 8,451.44 is: 11,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.86 : 20,928.84 = 8,451.44 : x
  2. Step 2: Convert to fraction form
    15,165.86/20,928.84 = 8,451.44/x
  3. Step 3: Cross multiply
    15,165.86x = 20,928.84 × 8,451.44
  4. Step 4: Simplify right side
    15,165.86x = 176,878,835.53
  5. Step 5: Solve for x
    x = 176,878,835.53/15,165.86
  6. Step 6: Final answer
    x = 11,662.96

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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.