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Finding the Fourth Proportional to 6,449.14, 8,899.83 and 3,654.64

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Solution

The fourth proportional to 6,449.14, 8,899.83 and 3,654.64 is: 5,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.14 : 8,899.83 = 3,654.64 : x
  2. Step 2: Convert to fraction form
    6,449.14/8,899.83 = 3,654.64/x
  3. Step 3: Cross multiply
    6,449.14x = 8,899.83 × 3,654.64
  4. Step 4: Simplify right side
    6,449.14x = 32,525,674.71
  5. Step 5: Solve for x
    x = 32,525,674.71/6,449.14
  6. Step 6: Final answer
    x = 5,043.41

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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.