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Finding the Fourth Proportional to 7,393.64, 10,204.16 and 4,249.76

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Solution

The fourth proportional to 7,393.64, 10,204.16 and 4,249.76 is: 5,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.64 : 10,204.16 = 4,249.76 : x
  2. Step 2: Convert to fraction form
    7,393.64/10,204.16 = 4,249.76/x
  3. Step 3: Cross multiply
    7,393.64x = 10,204.16 × 4,249.76
  4. Step 4: Simplify right side
    7,393.64x = 43,365,231.00
  5. Step 5: Solve for x
    x = 43,365,231.00/7,393.64
  6. Step 6: Final answer
    x = 5,865.21

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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.