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Finding the Fourth Proportional to 9,769.69, 13,482.16 and 5,293.44

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Solution

The fourth proportional to 9,769.69, 13,482.16 and 5,293.44 is: 7,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.69 : 13,482.16 = 5,293.44 : x
  2. Step 2: Convert to fraction form
    9,769.69/13,482.16 = 5,293.44/x
  3. Step 3: Cross multiply
    9,769.69x = 13,482.16 × 5,293.44
  4. Step 4: Simplify right side
    9,769.69x = 71,367,021.57
  5. Step 5: Solve for x
    x = 71,367,021.57/9,769.69
  6. Step 6: Final answer
    x = 7,304.95

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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.