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Finding the Fourth Proportional to 10,595, 14,621.10 and 6,869

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Solution

The fourth proportional to 10,595, 14,621.10 and 6,869 is: 9,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595 : 14,621.10 = 6,869 : x
  2. Step 2: Convert to fraction form
    10,595/14,621.10 = 6,869/x
  3. Step 3: Cross multiply
    10,595x = 14,621.10 × 6,869
  4. Step 4: Simplify right side
    10,595x = 100,432,335.90
  5. Step 5: Solve for x
    x = 100,432,335.90/10,595
  6. Step 6: Final answer
    x = 9,479.22

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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.