Home / 11,434-17,150.70-6,171.32

Finding the Fourth Proportional to 11,434, 17,150.70 and 6,171.32

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Solution

The fourth proportional to 11,434, 17,150.70 and 6,171.32 is: 9,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434 : 17,150.70 = 6,171.32 : x
  2. Step 2: Convert to fraction form
    11,434/17,150.70 = 6,171.32/x
  3. Step 3: Cross multiply
    11,434x = 17,150.70 × 6,171.32
  4. Step 4: Simplify right side
    11,434x = 105,842,457.92
  5. Step 5: Solve for x
    x = 105,842,457.92/11,434
  6. Step 6: Final answer
    x = 9,256.82

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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.