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Finding the Fourth Proportional to 11,798.78, 16,282.38 and 6,493.46

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Solution

The fourth proportional to 11,798.78, 16,282.38 and 6,493.46 is: 8,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.78 : 16,282.38 = 6,493.46 : x
  2. Step 2: Convert to fraction form
    11,798.78/16,282.38 = 6,493.46/x
  3. Step 3: Cross multiply
    11,798.78x = 16,282.38 × 6,493.46
  4. Step 4: Simplify right side
    11,798.78x = 105,728,983.23
  5. Step 5: Solve for x
    x = 105,728,983.23/11,798.78
  6. Step 6: Final answer
    x = 8,961.01

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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.