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Finding the Fourth Proportional to 6,484.10, 8,944.62 and 3,967.46

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Solution

The fourth proportional to 6,484.10, 8,944.62 and 3,967.46 is: 5,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.10 : 8,944.62 = 3,967.46 : x
  2. Step 2: Convert to fraction form
    6,484.10/8,944.62 = 3,967.46/x
  3. Step 3: Cross multiply
    6,484.10x = 8,944.62 × 3,967.46
  4. Step 4: Simplify right side
    6,484.10x = 35,487,422.07
  5. Step 5: Solve for x
    x = 35,487,422.07/6,484.10
  6. Step 6: Final answer
    x = 5,472.99

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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.