Home / 13,102.25-19,664.31-6,176.75

Finding the Fourth Proportional to 13,102.25, 19,664.31 and 6,176.75

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Solution

The fourth proportional to 13,102.25, 19,664.31 and 6,176.75 is: 9,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.25 : 19,664.31 = 6,176.75 : x
  2. Step 2: Convert to fraction form
    13,102.25/19,664.31 = 6,176.75/x
  3. Step 3: Cross multiply
    13,102.25x = 19,664.31 × 6,176.75
  4. Step 4: Simplify right side
    13,102.25x = 121,461,526.79
  5. Step 5: Solve for x
    x = 121,461,526.79/13,102.25
  6. Step 6: Final answer
    x = 9,270.28

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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.