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Finding the Fourth Proportional to 11,695.18, 17,545.86 and 6,146.98

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Solution

The fourth proportional to 11,695.18, 17,545.86 and 6,146.98 is: 9,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.18 : 17,545.86 = 6,146.98 : x
  2. Step 2: Convert to fraction form
    11,695.18/17,545.86 = 6,146.98/x
  3. Step 3: Cross multiply
    11,695.18x = 17,545.86 × 6,146.98
  4. Step 4: Simplify right side
    11,695.18x = 107,854,050.50
  5. Step 5: Solve for x
    x = 107,854,050.50/11,695.18
  6. Step 6: Final answer
    x = 9,222.09

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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.