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Finding the Fourth Proportional to 11,662.24, 16,094.28 and 6,945.88

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Solution

The fourth proportional to 11,662.24, 16,094.28 and 6,945.88 is: 9,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.24 : 16,094.28 = 6,945.88 : x
  2. Step 2: Convert to fraction form
    11,662.24/16,094.28 = 6,945.88/x
  3. Step 3: Cross multiply
    11,662.24x = 16,094.28 × 6,945.88
  4. Step 4: Simplify right side
    11,662.24x = 111,788,937.57
  5. Step 5: Solve for x
    x = 111,788,937.57/11,662.24
  6. Step 6: Final answer
    x = 9,585.55

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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.