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Finding the Fourth Proportional to 11,480.70, 15,844.83 and 6,765.42

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Solution

The fourth proportional to 11,480.70, 15,844.83 and 6,765.42 is: 9,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.70 : 15,844.83 = 6,765.42 : x
  2. Step 2: Convert to fraction form
    11,480.70/15,844.83 = 6,765.42/x
  3. Step 3: Cross multiply
    11,480.70x = 15,844.83 × 6,765.42
  4. Step 4: Simplify right side
    11,480.70x = 107,196,929.78
  5. Step 5: Solve for x
    x = 107,196,929.78/11,480.70
  6. Step 6: Final answer
    x = 9,337.14

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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.