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Finding the Fourth Proportional to 11,419.26, 15,763.44 and 6,944.45

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Solution

The fourth proportional to 11,419.26, 15,763.44 and 6,944.45 is: 9,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.26 : 15,763.44 = 6,944.45 : x
  2. Step 2: Convert to fraction form
    11,419.26/15,763.44 = 6,944.45/x
  3. Step 3: Cross multiply
    11,419.26x = 15,763.44 × 6,944.45
  4. Step 4: Simplify right side
    11,419.26x = 109,468,420.91
  5. Step 5: Solve for x
    x = 109,468,420.91/11,419.26
  6. Step 6: Final answer
    x = 9,586.30

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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.