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Finding the Fourth Proportional to 9,590.41, 13,251.92 and 7,471.41

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Solution

The fourth proportional to 9,590.41, 13,251.92 and 7,471.41 is: 10,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.41 : 13,251.92 = 7,471.41 : x
  2. Step 2: Convert to fraction form
    9,590.41/13,251.92 = 7,471.41/x
  3. Step 3: Cross multiply
    9,590.41x = 13,251.92 × 7,471.41
  4. Step 4: Simplify right side
    9,590.41x = 99,010,546.29
  5. Step 5: Solve for x
    x = 99,010,546.29/9,590.41
  6. Step 6: Final answer
    x = 10,323.91

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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.