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Finding the Fourth Proportional to 10,243.14, 14,105.79 and 8,898.14

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Solution

The fourth proportional to 10,243.14, 14,105.79 and 8,898.14 is: 12,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.14 : 14,105.79 = 8,898.14 : x
  2. Step 2: Convert to fraction form
    10,243.14/14,105.79 = 8,898.14/x
  3. Step 3: Cross multiply
    10,243.14x = 14,105.79 × 8,898.14
  4. Step 4: Simplify right side
    10,243.14x = 125,515,223.70
  5. Step 5: Solve for x
    x = 125,515,223.70/10,243.14
  6. Step 6: Final answer
    x = 12,253.59

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1.5x scale

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.