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Finding the Fourth Proportional to 7,207.86, 9,944.60 and 4,063.44

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Solution

The fourth proportional to 7,207.86, 9,944.60 and 4,063.44 is: 5,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.86 : 9,944.60 = 4,063.44 : x
  2. Step 2: Convert to fraction form
    7,207.86/9,944.60 = 4,063.44/x
  3. Step 3: Cross multiply
    7,207.86x = 9,944.60 × 4,063.44
  4. Step 4: Simplify right side
    7,207.86x = 40,409,265.11
  5. Step 5: Solve for x
    x = 40,409,265.11/7,207.86
  6. Step 6: Final answer
    x = 5,606.28

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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.