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Finding the Fourth Proportional to 6,449.94, 8,901 and 3,617.28

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Solution

The fourth proportional to 6,449.94, 8,901 and 3,617.28 is: 4,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.94 : 8,901 = 3,617.28 : x
  2. Step 2: Convert to fraction form
    6,449.94/8,901 = 3,617.28/x
  3. Step 3: Cross multiply
    6,449.94x = 8,901 × 3,617.28
  4. Step 4: Simplify right side
    6,449.94x = 32,197,409.28
  5. Step 5: Solve for x
    x = 32,197,409.28/6,449.94
  6. Step 6: Final answer
    x = 4,991.89

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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.