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Finding the Fourth Proportional to 11,842.56, 17,745.12 and 7,675.20

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Solution

The fourth proportional to 11,842.56, 17,745.12 and 7,675.20 is: 11,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.56 : 17,745.12 = 7,675.20 : x
  2. Step 2: Convert to fraction form
    11,842.56/17,745.12 = 7,675.20/x
  3. Step 3: Cross multiply
    11,842.56x = 17,745.12 × 7,675.20
  4. Step 4: Simplify right side
    11,842.56x = 136,197,345.02
  5. Step 5: Solve for x
    x = 136,197,345.02/11,842.56
  6. Step 6: Final answer
    x = 11,500.67

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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.