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Finding the Fourth Proportional to 8,024.49, 12,007.94 and 7,034.49

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Solution

The fourth proportional to 8,024.49, 12,007.94 and 7,034.49 is: 10,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.49 : 12,007.94 = 7,034.49 : x
  2. Step 2: Convert to fraction form
    8,024.49/12,007.94 = 7,034.49/x
  3. Step 3: Cross multiply
    8,024.49x = 12,007.94 × 7,034.49
  4. Step 4: Simplify right side
    8,024.49x = 84,469,698.68
  5. Step 5: Solve for x
    x = 84,469,698.68/8,024.49
  6. Step 6: Final answer
    x = 10,526.49

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1.5x scale

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.