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Finding the Fourth Proportional to 7,954, 10,976.52 and 4,642

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Solution

The fourth proportional to 7,954, 10,976.52 and 4,642 is: 6,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 10,976.52 = 4,642 : x
  2. Step 2: Convert to fraction form
    7,954/10,976.52 = 4,642/x
  3. Step 3: Cross multiply
    7,954x = 10,976.52 × 4,642
  4. Step 4: Simplify right side
    7,954x = 50,953,005.84
  5. Step 5: Solve for x
    x = 50,953,005.84/7,954
  6. Step 6: Final answer
    x = 6,405.96

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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.