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Finding the Fourth Proportional to 6,233.76, 9,352.36 and 5,188.16

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Solution

The fourth proportional to 6,233.76, 9,352.36 and 5,188.16 is: 7,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.76 : 9,352.36 = 5,188.16 : x
  2. Step 2: Convert to fraction form
    6,233.76/9,352.36 = 5,188.16/x
  3. Step 3: Cross multiply
    6,233.76x = 9,352.36 × 5,188.16
  4. Step 4: Simplify right side
    6,233.76x = 48,521,540.06
  5. Step 5: Solve for x
    x = 48,521,540.06/6,233.76
  6. Step 6: Final answer
    x = 7,783.67

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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.