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Finding the Fourth Proportional to 9,502.86, 14,238.09 and 7,422.06

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Solution

The fourth proportional to 9,502.86, 14,238.09 and 7,422.06 is: 11,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.86 : 14,238.09 = 7,422.06 : x
  2. Step 2: Convert to fraction form
    9,502.86/14,238.09 = 7,422.06/x
  3. Step 3: Cross multiply
    9,502.86x = 14,238.09 × 7,422.06
  4. Step 4: Simplify right side
    9,502.86x = 105,675,958.27
  5. Step 5: Solve for x
    x = 105,675,958.27/9,502.86
  6. Step 6: Final answer
    x = 11,120.44

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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.