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Finding the Fourth Proportional to 6,455.67, 8,909.46 and 3,803.94

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Solution

The fourth proportional to 6,455.67, 8,909.46 and 3,803.94 is: 5,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.67 : 8,909.46 = 3,803.94 : x
  2. Step 2: Convert to fraction form
    6,455.67/8,909.46 = 3,803.94/x
  3. Step 3: Cross multiply
    6,455.67x = 8,909.46 × 3,803.94
  4. Step 4: Simplify right side
    6,455.67x = 33,891,051.27
  5. Step 5: Solve for x
    x = 33,891,051.27/6,455.67
  6. Step 6: Final answer
    x = 5,249.81

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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.