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Finding the Fourth Proportional to 10,464.39, 15,698.04 and 3,069.39

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Solution

The fourth proportional to 10,464.39, 15,698.04 and 3,069.39 is: 4,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.39 : 15,698.04 = 3,069.39 : x
  2. Step 2: Convert to fraction form
    10,464.39/15,698.04 = 3,069.39/x
  3. Step 3: Cross multiply
    10,464.39x = 15,698.04 × 3,069.39
  4. Step 4: Simplify right side
    10,464.39x = 48,183,407.00
  5. Step 5: Solve for x
    x = 48,183,407.00/10,464.39
  6. Step 6: Final answer
    x = 4,604.51

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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.