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Finding the Fourth Proportional to 11,930.91, 16,464.74 and 6,895.14

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Solution

The fourth proportional to 11,930.91, 16,464.74 and 6,895.14 is: 9,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.91 : 16,464.74 = 6,895.14 : x
  2. Step 2: Convert to fraction form
    11,930.91/16,464.74 = 6,895.14/x
  3. Step 3: Cross multiply
    11,930.91x = 16,464.74 × 6,895.14
  4. Step 4: Simplify right side
    11,930.91x = 113,526,652.89
  5. Step 5: Solve for x
    x = 113,526,652.89/11,930.91
  6. Step 6: Final answer
    x = 9,515.34

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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.