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Finding the Fourth Proportional to 9,309.69, 13,963.68 and 3,069.63

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Solution

The fourth proportional to 9,309.69, 13,963.68 and 3,069.63 is: 4,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.69 : 13,963.68 = 3,069.63 : x
  2. Step 2: Convert to fraction form
    9,309.69/13,963.68 = 3,069.63/x
  3. Step 3: Cross multiply
    9,309.69x = 13,963.68 × 3,069.63
  4. Step 4: Simplify right side
    9,309.69x = 42,863,331.04
  5. Step 5: Solve for x
    x = 42,863,331.04/9,309.69
  6. Step 6: Final answer
    x = 4,604.16

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1.5x scale

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.