Home / 6,976.86-10,466.57-2,297.13

Finding the Fourth Proportional to 6,976.86, 10,466.57 and 2,297.13

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Solution

The fourth proportional to 6,976.86, 10,466.57 and 2,297.13 is: 3,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.86 : 10,466.57 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    6,976.86/10,466.57 = 2,297.13/x
  3. Step 3: Cross multiply
    6,976.86x = 10,466.57 × 2,297.13
  4. Step 4: Simplify right side
    6,976.86x = 24,043,071.94
  5. Step 5: Solve for x
    x = 24,043,071.94/6,976.86
  6. Step 6: Final answer
    x = 3,446.12

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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.