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Finding the Fourth Proportional to 9,769.97, 13,482.63 and 7,527.75

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Solution

The fourth proportional to 9,769.97, 13,482.63 and 7,527.75 is: 10,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.97 : 13,482.63 = 7,527.75 : x
  2. Step 2: Convert to fraction form
    9,769.97/13,482.63 = 7,527.75/x
  3. Step 3: Cross multiply
    9,769.97x = 13,482.63 × 7,527.75
  4. Step 4: Simplify right side
    9,769.97x = 101,493,867.98
  5. Step 5: Solve for x
    x = 101,493,867.98/9,769.97
  6. Step 6: Final answer
    x = 10,388.36

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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.