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Finding the Fourth Proportional to 6,449.69, 9,674.75 and 2,290.02

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Solution

The fourth proportional to 6,449.69, 9,674.75 and 2,290.02 is: 3,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.69 : 9,674.75 = 2,290.02 : x
  2. Step 2: Convert to fraction form
    6,449.69/9,674.75 = 2,290.02/x
  3. Step 3: Cross multiply
    6,449.69x = 9,674.75 × 2,290.02
  4. Step 4: Simplify right side
    6,449.69x = 22,155,403.12
  5. Step 5: Solve for x
    x = 22,155,403.12/6,449.69
  6. Step 6: Final answer
    x = 3,435.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.