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Finding the Fourth Proportional to 11,676.95, 16,114.65 and 6,641.63

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Solution

The fourth proportional to 11,676.95, 16,114.65 and 6,641.63 is: 9,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.95 : 16,114.65 = 6,641.63 : x
  2. Step 2: Convert to fraction form
    11,676.95/16,114.65 = 6,641.63/x
  3. Step 3: Cross multiply
    11,676.95x = 16,114.65 × 6,641.63
  4. Step 4: Simplify right side
    11,676.95x = 107,027,583.17
  5. Step 5: Solve for x
    x = 107,027,583.17/11,676.95
  6. Step 6: Final answer
    x = 9,165.71

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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.