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Finding the Fourth Proportional to 6,476.96, 8,938.13 and 3,644.84

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Solution

The fourth proportional to 6,476.96, 8,938.13 and 3,644.84 is: 5,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.96 : 8,938.13 = 3,644.84 : x
  2. Step 2: Convert to fraction form
    6,476.96/8,938.13 = 3,644.84/x
  3. Step 3: Cross multiply
    6,476.96x = 8,938.13 × 3,644.84
  4. Step 4: Simplify right side
    6,476.96x = 32,578,057.87
  5. Step 5: Solve for x
    x = 32,578,057.87/6,476.96
  6. Step 6: Final answer
    x = 5,029.84

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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.