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Finding the Fourth Proportional to 9,594.78, 13,242.97 and 6,231.74

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Solution

The fourth proportional to 9,594.78, 13,242.97 and 6,231.74 is: 8,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.78 : 13,242.97 = 6,231.74 : x
  2. Step 2: Convert to fraction form
    9,594.78/13,242.97 = 6,231.74/x
  3. Step 3: Cross multiply
    9,594.78x = 13,242.97 × 6,231.74
  4. Step 4: Simplify right side
    9,594.78x = 82,526,669.92
  5. Step 5: Solve for x
    x = 82,526,669.92/9,594.78
  6. Step 6: Final answer
    x = 8,601.21

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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.