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Finding the Fourth Proportional to 11,673.67, 16,109.94 and 6,368.98

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Solution

The fourth proportional to 11,673.67, 16,109.94 and 6,368.98 is: 8,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.67 : 16,109.94 = 6,368.98 : x
  2. Step 2: Convert to fraction form
    11,673.67/16,109.94 = 6,368.98/x
  3. Step 3: Cross multiply
    11,673.67x = 16,109.94 × 6,368.98
  4. Step 4: Simplify right side
    11,673.67x = 102,603,885.66
  5. Step 5: Solve for x
    x = 102,603,885.66/11,673.67
  6. Step 6: Final answer
    x = 8,789.34

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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.