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Finding the Fourth Proportional to 11,846.56, 17,751.12 and 7,679.20

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Solution

The fourth proportional to 11,846.56, 17,751.12 and 7,679.20 is: 11,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.56 : 17,751.12 = 7,679.20 : x
  2. Step 2: Convert to fraction form
    11,846.56/17,751.12 = 7,679.20/x
  3. Step 3: Cross multiply
    11,846.56x = 17,751.12 × 7,679.20
  4. Step 4: Simplify right side
    11,846.56x = 136,314,400.70
  5. Step 5: Solve for x
    x = 136,314,400.70/11,846.56
  6. Step 6: Final answer
    x = 11,506.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.