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Finding the Fourth Proportional to 9,474.96, 14,202.94 and 7,814.20

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Solution

The fourth proportional to 9,474.96, 14,202.94 and 7,814.20 is: 11,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.96 : 14,202.94 = 7,814.20 : x
  2. Step 2: Convert to fraction form
    9,474.96/14,202.94 = 7,814.20/x
  3. Step 3: Cross multiply
    9,474.96x = 14,202.94 × 7,814.20
  4. Step 4: Simplify right side
    9,474.96x = 110,984,613.75
  5. Step 5: Solve for x
    x = 110,984,613.75/9,474.96
  6. Step 6: Final answer
    x = 11,713.47

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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.