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Finding the Fourth Proportional to 9,235.47, 12,737.07 and 7,806.75

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Solution

The fourth proportional to 9,235.47, 12,737.07 and 7,806.75 is: 10,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.47 : 12,737.07 = 7,806.75 : x
  2. Step 2: Convert to fraction form
    9,235.47/12,737.07 = 7,806.75/x
  3. Step 3: Cross multiply
    9,235.47x = 12,737.07 × 7,806.75
  4. Step 4: Simplify right side
    9,235.47x = 99,435,202.88
  5. Step 5: Solve for x
    x = 99,435,202.88/9,235.47
  6. Step 6: Final answer
    x = 10,766.67

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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.