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Finding the Fourth Proportional to 11,399.64, 15,732.28 and 6,363.88

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Solution

The fourth proportional to 11,399.64, 15,732.28 and 6,363.88 is: 8,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.64 : 15,732.28 = 6,363.88 : x
  2. Step 2: Convert to fraction form
    11,399.64/15,732.28 = 6,363.88/x
  3. Step 3: Cross multiply
    11,399.64x = 15,732.28 × 6,363.88
  4. Step 4: Simplify right side
    11,399.64x = 100,118,342.05
  5. Step 5: Solve for x
    x = 100,118,342.05/11,399.64
  6. Step 6: Final answer
    x = 8,782.59

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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.