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Finding the Fourth Proportional to 15,946.56, 22,007.31 and 9,234.54

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Solution

The fourth proportional to 15,946.56, 22,007.31 and 9,234.54 is: 12,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.56 : 22,007.31 = 9,234.54 : x
  2. Step 2: Convert to fraction form
    15,946.56/22,007.31 = 9,234.54/x
  3. Step 3: Cross multiply
    15,946.56x = 22,007.31 × 9,234.54
  4. Step 4: Simplify right side
    15,946.56x = 203,227,384.49
  5. Step 5: Solve for x
    x = 203,227,384.49/15,946.56
  6. Step 6: Final answer
    x = 12,744.28

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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.