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Finding the Fourth Proportional to 9,791.20, 14,668.98 and 8,741.44

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Solution

The fourth proportional to 9,791.20, 14,668.98 and 8,741.44 is: 13,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.20 : 14,668.98 = 8,741.44 : x
  2. Step 2: Convert to fraction form
    9,791.20/14,668.98 = 8,741.44/x
  3. Step 3: Cross multiply
    9,791.20x = 14,668.98 × 8,741.44
  4. Step 4: Simplify right side
    9,791.20x = 128,228,008.53
  5. Step 5: Solve for x
    x = 128,228,008.53/9,791.20
  6. Step 6: Final answer
    x = 13,096.25

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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.