Home / 10,204.44-15,270.18-7,998

Finding the Fourth Proportional to 10,204.44, 15,270.18 and 7,998

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Solution

The fourth proportional to 10,204.44, 15,270.18 and 7,998 is: 11,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.44 : 15,270.18 = 7,998 : x
  2. Step 2: Convert to fraction form
    10,204.44/15,270.18 = 7,998/x
  3. Step 3: Cross multiply
    10,204.44x = 15,270.18 × 7,998
  4. Step 4: Simplify right side
    10,204.44x = 122,130,899.64
  5. Step 5: Solve for x
    x = 122,130,899.64/10,204.44
  6. Step 6: Final answer
    x = 11,968.41

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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.