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Finding the Fourth Proportional to 8,007.73, 11,049.18 and 4,649.32

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Solution

The fourth proportional to 8,007.73, 11,049.18 and 4,649.32 is: 6,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.73 : 11,049.18 = 4,649.32 : x
  2. Step 2: Convert to fraction form
    8,007.73/11,049.18 = 4,649.32/x
  3. Step 3: Cross multiply
    8,007.73x = 11,049.18 × 4,649.32
  4. Step 4: Simplify right side
    8,007.73x = 51,371,173.56
  5. Step 5: Solve for x
    x = 51,371,173.56/8,007.73
  6. Step 6: Final answer
    x = 6,415.20

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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.