Home / 10,697.74-16,049.34-4,122.16

Finding the Fourth Proportional to 10,697.74, 16,049.34 and 4,122.16

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Solution

The fourth proportional to 10,697.74, 16,049.34 and 4,122.16 is: 6,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.74 : 16,049.34 = 4,122.16 : x
  2. Step 2: Convert to fraction form
    10,697.74/16,049.34 = 4,122.16/x
  3. Step 3: Cross multiply
    10,697.74x = 16,049.34 × 4,122.16
  4. Step 4: Simplify right side
    10,697.74x = 66,157,907.25
  5. Step 5: Solve for x
    x = 66,157,907.25/10,697.74
  6. Step 6: Final answer
    x = 6,184.29

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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.