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Finding the Fourth Proportional to 11,028.25, 15,213.93 and 6,549.46

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Solution

The fourth proportional to 11,028.25, 15,213.93 and 6,549.46 is: 9,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.25 : 15,213.93 = 6,549.46 : x
  2. Step 2: Convert to fraction form
    11,028.25/15,213.93 = 6,549.46/x
  3. Step 3: Cross multiply
    11,028.25x = 15,213.93 × 6,549.46
  4. Step 4: Simplify right side
    11,028.25x = 99,642,963.38
  5. Step 5: Solve for x
    x = 99,642,963.38/11,028.25
  6. Step 6: Final answer
    x = 9,035.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.