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Finding the Fourth Proportional to 10,998.94, 15,174.55 and 7,224.15

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Solution

The fourth proportional to 10,998.94, 15,174.55 and 7,224.15 is: 9,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.94 : 15,174.55 = 7,224.15 : x
  2. Step 2: Convert to fraction form
    10,998.94/15,174.55 = 7,224.15/x
  3. Step 3: Cross multiply
    10,998.94x = 15,174.55 × 7,224.15
  4. Step 4: Simplify right side
    10,998.94x = 109,623,225.38
  5. Step 5: Solve for x
    x = 109,623,225.38/10,998.94
  6. Step 6: Final answer
    x = 9,966.71

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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.