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Finding the Fourth Proportional to 6,406.94, 9,600.68 and 4,755.76

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Solution

The fourth proportional to 6,406.94, 9,600.68 and 4,755.76 is: 7,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.94 : 9,600.68 = 4,755.76 : x
  2. Step 2: Convert to fraction form
    6,406.94/9,600.68 = 4,755.76/x
  3. Step 3: Cross multiply
    6,406.94x = 9,600.68 × 4,755.76
  4. Step 4: Simplify right side
    6,406.94x = 45,658,529.92
  5. Step 5: Solve for x
    x = 45,658,529.92/6,406.94
  6. Step 6: Final answer
    x = 7,126.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.