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Finding the Fourth Proportional to 9,769.41, 13,471.65 and 7,641.27

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Solution

The fourth proportional to 9,769.41, 13,471.65 and 7,641.27 is: 10,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.41 : 13,471.65 = 7,641.27 : x
  2. Step 2: Convert to fraction form
    9,769.41/13,471.65 = 7,641.27/x
  3. Step 3: Cross multiply
    9,769.41x = 13,471.65 × 7,641.27
  4. Step 4: Simplify right side
    9,769.41x = 102,940,515.00
  5. Step 5: Solve for x
    x = 102,940,515.00/9,769.41
  6. Step 6: Final answer
    x = 10,537.02

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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.