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Finding the Fourth Proportional to 9,193.62, 13,768.21 and 5,232.88

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Solution

The fourth proportional to 9,193.62, 13,768.21 and 5,232.88 is: 7,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.62 : 13,768.21 = 5,232.88 : x
  2. Step 2: Convert to fraction form
    9,193.62/13,768.21 = 5,232.88/x
  3. Step 3: Cross multiply
    9,193.62x = 13,768.21 × 5,232.88
  4. Step 4: Simplify right side
    9,193.62x = 72,047,390.74
  5. Step 5: Solve for x
    x = 72,047,390.74/9,193.62
  6. Step 6: Final answer
    x = 7,836.67

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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.