Home / 6,457.24-9,697.74-3,997

Finding the Fourth Proportional to 6,457.24, 9,697.74 and 3,997

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Solution

The fourth proportional to 6,457.24, 9,697.74 and 3,997 is: 6,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.24 : 9,697.74 = 3,997 : x
  2. Step 2: Convert to fraction form
    6,457.24/9,697.74 = 3,997/x
  3. Step 3: Cross multiply
    6,457.24x = 9,697.74 × 3,997
  4. Step 4: Simplify right side
    6,457.24x = 38,761,866.78
  5. Step 5: Solve for x
    x = 38,761,866.78/6,457.24
  6. Step 6: Final answer
    x = 6,002.85

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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.