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Finding the Fourth Proportional to 9,754.92, 13,456.94 and 6,174.45

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Solution

The fourth proportional to 9,754.92, 13,456.94 and 6,174.45 is: 8,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.92 : 13,456.94 = 6,174.45 : x
  2. Step 2: Convert to fraction form
    9,754.92/13,456.94 = 6,174.45/x
  3. Step 3: Cross multiply
    9,754.92x = 13,456.94 × 6,174.45
  4. Step 4: Simplify right side
    9,754.92x = 83,089,172.31
  5. Step 5: Solve for x
    x = 83,089,172.31/9,754.92
  6. Step 6: Final answer
    x = 8,517.67

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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.