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Finding the Fourth Proportional to 11,698.31, 16,143.89 and 6,393.47

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Solution

The fourth proportional to 11,698.31, 16,143.89 and 6,393.47 is: 8,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.31 : 16,143.89 = 6,393.47 : x
  2. Step 2: Convert to fraction form
    11,698.31/16,143.89 = 6,393.47/x
  3. Step 3: Cross multiply
    11,698.31x = 16,143.89 × 6,393.47
  4. Step 4: Simplify right side
    11,698.31x = 103,215,444.43
  5. Step 5: Solve for x
    x = 103,215,444.43/11,698.31
  6. Step 6: Final answer
    x = 8,823.11

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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.