Home / 9,829.20-14,717.88-5,198.16

Finding the Fourth Proportional to 9,829.20, 14,717.88 and 5,198.16

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Solution

The fourth proportional to 9,829.20, 14,717.88 and 5,198.16 is: 7,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.20 : 14,717.88 = 5,198.16 : x
  2. Step 2: Convert to fraction form
    9,829.20/14,717.88 = 5,198.16/x
  3. Step 3: Cross multiply
    9,829.20x = 14,717.88 × 5,198.16
  4. Step 4: Simplify right side
    9,829.20x = 76,505,895.10
  5. Step 5: Solve for x
    x = 76,505,895.10/9,829.20
  6. Step 6: Final answer
    x = 7,783.53

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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.