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Finding the Fourth Proportional to 8,007.04, 11,957.99 and 6,824.44

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Solution

The fourth proportional to 8,007.04, 11,957.99 and 6,824.44 is: 10,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.04 : 11,957.99 = 6,824.44 : x
  2. Step 2: Convert to fraction form
    8,007.04/11,957.99 = 6,824.44/x
  3. Step 3: Cross multiply
    8,007.04x = 11,957.99 × 6,824.44
  4. Step 4: Simplify right side
    8,007.04x = 81,606,491.36
  5. Step 5: Solve for x
    x = 81,606,491.36/8,007.04
  6. Step 6: Final answer
    x = 10,191.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.