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Finding the Fourth Proportional to 9,947, 14,921.10 and 3,021.56

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Solution

The fourth proportional to 9,947, 14,921.10 and 3,021.56 is: 4,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 14,921.10 = 3,021.56 : x
  2. Step 2: Convert to fraction form
    9,947/14,921.10 = 3,021.56/x
  3. Step 3: Cross multiply
    9,947x = 14,921.10 × 3,021.56
  4. Step 4: Simplify right side
    9,947x = 45,084,998.92
  5. Step 5: Solve for x
    x = 45,084,998.92/9,947
  6. Step 6: Final answer
    x = 4,532.52

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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.