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Finding the Fourth Proportional to 7,205.78, 9,944.44 and 4,224.98

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Solution

The fourth proportional to 7,205.78, 9,944.44 and 4,224.98 is: 5,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.78 : 9,944.44 = 4,224.98 : x
  2. Step 2: Convert to fraction form
    7,205.78/9,944.44 = 4,224.98/x
  3. Step 3: Cross multiply
    7,205.78x = 9,944.44 × 4,224.98
  4. Step 4: Simplify right side
    7,205.78x = 42,015,060.11
  5. Step 5: Solve for x
    x = 42,015,060.11/7,205.78
  6. Step 6: Final answer
    x = 5,830.74

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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.