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Finding the Fourth Proportional to 11,699.31, 16,145.10 and 6,394.22

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Solution

The fourth proportional to 11,699.31, 16,145.10 and 6,394.22 is: 8,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.31 : 16,145.10 = 6,394.22 : x
  2. Step 2: Convert to fraction form
    11,699.31/16,145.10 = 6,394.22/x
  3. Step 3: Cross multiply
    11,699.31x = 16,145.10 × 6,394.22
  4. Step 4: Simplify right side
    11,699.31x = 103,235,240.60
  5. Step 5: Solve for x
    x = 103,235,240.60/11,699.31
  6. Step 6: Final answer
    x = 8,824.05

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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.