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Finding the Fourth Proportional to 11,699.67, 16,145.49 and 6,394.50

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Solution

The fourth proportional to 11,699.67, 16,145.49 and 6,394.50 is: 8,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.67 : 16,145.49 = 6,394.50 : x
  2. Step 2: Convert to fraction form
    11,699.67/16,145.49 = 6,394.50/x
  3. Step 3: Cross multiply
    11,699.67x = 16,145.49 × 6,394.50
  4. Step 4: Simplify right side
    11,699.67x = 103,242,335.81
  5. Step 5: Solve for x
    x = 103,242,335.81/11,699.67
  6. Step 6: Final answer
    x = 8,824.38

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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.