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Finding the Fourth Proportional to 10,224, 14,098.74 and 9,628.74

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Solution

The fourth proportional to 10,224, 14,098.74 and 9,628.74 is: 13,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 14,098.74 = 9,628.74 : x
  2. Step 2: Convert to fraction form
    10,224/14,098.74 = 9,628.74/x
  3. Step 3: Cross multiply
    10,224x = 14,098.74 × 9,628.74
  4. Step 4: Simplify right side
    10,224x = 135,753,101.79
  5. Step 5: Solve for x
    x = 135,753,101.79/10,224
  6. Step 6: Final answer
    x = 13,277.89

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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.