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Finding the Fourth Proportional to 7,659, 10,569.42 and 4,674.35

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Solution

The fourth proportional to 7,659, 10,569.42 and 4,674.35 is: 6,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 10,569.42 = 4,674.35 : x
  2. Step 2: Convert to fraction form
    7,659/10,569.42 = 4,674.35/x
  3. Step 3: Cross multiply
    7,659x = 10,569.42 × 4,674.35
  4. Step 4: Simplify right side
    7,659x = 49,405,194.80
  5. Step 5: Solve for x
    x = 49,405,194.80/7,659
  6. Step 6: Final answer
    x = 6,450.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.