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Finding the Fourth Proportional to 11,676.94, 16,114.53 and 6,641.89

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Solution

The fourth proportional to 11,676.94, 16,114.53 and 6,641.89 is: 9,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.94 : 16,114.53 = 6,641.89 : x
  2. Step 2: Convert to fraction form
    11,676.94/16,114.53 = 6,641.89/x
  3. Step 3: Cross multiply
    11,676.94x = 16,114.53 × 6,641.89
  4. Step 4: Simplify right side
    11,676.94x = 107,030,895.38
  5. Step 5: Solve for x
    x = 107,030,895.38/11,676.94
  6. Step 6: Final answer
    x = 9,166.01

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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.