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Finding the Fourth Proportional to 11,800.47, 17,703.67 and 9,695.61

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Solution

The fourth proportional to 11,800.47, 17,703.67 and 9,695.61 is: 14,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.47 : 17,703.67 = 9,695.61 : x
  2. Step 2: Convert to fraction form
    11,800.47/17,703.67 = 9,695.61/x
  3. Step 3: Cross multiply
    11,800.47x = 17,703.67 × 9,695.61
  4. Step 4: Simplify right side
    11,800.47x = 171,647,899.91
  5. Step 5: Solve for x
    x = 171,647,899.91/11,800.47
  6. Step 6: Final answer
    x = 14,545.86

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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.