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Finding the Fourth Proportional to 9,803.82, 14,704.18 and 8,148.57

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Solution

The fourth proportional to 9,803.82, 14,704.18 and 8,148.57 is: 12,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.82 : 14,704.18 = 8,148.57 : x
  2. Step 2: Convert to fraction form
    9,803.82/14,704.18 = 8,148.57/x
  3. Step 3: Cross multiply
    9,803.82x = 14,704.18 × 8,148.57
  4. Step 4: Simplify right side
    9,803.82x = 119,817,999.28
  5. Step 5: Solve for x
    x = 119,817,999.28/9,803.82
  6. Step 6: Final answer
    x = 12,221.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.