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Finding the Fourth Proportional to 7,693.20, 11,523.60 and 6,235.20

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Solution

The fourth proportional to 7,693.20, 11,523.60 and 6,235.20 is: 9,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.20 : 11,523.60 = 6,235.20 : x
  2. Step 2: Convert to fraction form
    7,693.20/11,523.60 = 6,235.20/x
  3. Step 3: Cross multiply
    7,693.20x = 11,523.60 × 6,235.20
  4. Step 4: Simplify right side
    7,693.20x = 71,851,950.72
  5. Step 5: Solve for x
    x = 71,851,950.72/7,693.20
  6. Step 6: Final answer
    x = 9,339.67

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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.