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Finding the Fourth Proportional to 7,267.84, 10,078.12 and 7,021.60

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Solution

The fourth proportional to 7,267.84, 10,078.12 and 7,021.60 is: 9,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.84 : 10,078.12 = 7,021.60 : x
  2. Step 2: Convert to fraction form
    7,267.84/10,078.12 = 7,021.60/x
  3. Step 3: Cross multiply
    7,267.84x = 10,078.12 × 7,021.60
  4. Step 4: Simplify right side
    7,267.84x = 70,764,527.39
  5. Step 5: Solve for x
    x = 70,764,527.39/7,267.84
  6. Step 6: Final answer
    x = 9,736.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.