Home / 6,976.10-10,462.98-2,296.16

Finding the Fourth Proportional to 6,976.10, 10,462.98 and 2,296.16

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Solution

The fourth proportional to 6,976.10, 10,462.98 and 2,296.16 is: 3,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.10 : 10,462.98 = 2,296.16 : x
  2. Step 2: Convert to fraction form
    6,976.10/10,462.98 = 2,296.16/x
  3. Step 3: Cross multiply
    6,976.10x = 10,462.98 × 2,296.16
  4. Step 4: Simplify right side
    6,976.10x = 24,024,623.84
  5. Step 5: Solve for x
    x = 24,024,623.84/6,976.10
  6. Step 6: Final answer
    x = 3,443.85

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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.