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Finding the Fourth Proportional to 7,675.25, 10,545.93 and 6,100.61

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Solution

The fourth proportional to 7,675.25, 10,545.93 and 6,100.61 is: 8,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.25 : 10,545.93 = 6,100.61 : x
  2. Step 2: Convert to fraction form
    7,675.25/10,545.93 = 6,100.61/x
  3. Step 3: Cross multiply
    7,675.25x = 10,545.93 × 6,100.61
  4. Step 4: Simplify right side
    7,675.25x = 64,336,606.02
  5. Step 5: Solve for x
    x = 64,336,606.02/7,675.25
  6. Step 6: Final answer
    x = 8,382.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.