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Finding the Fourth Proportional to 7,709.40, 11,564.10 and 6,834.60

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Solution

The fourth proportional to 7,709.40, 11,564.10 and 6,834.60 is: 10,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.40 : 11,564.10 = 6,834.60 : x
  2. Step 2: Convert to fraction form
    7,709.40/11,564.10 = 6,834.60/x
  3. Step 3: Cross multiply
    7,709.40x = 11,564.10 × 6,834.60
  4. Step 4: Simplify right side
    7,709.40x = 79,035,997.86
  5. Step 5: Solve for x
    x = 79,035,997.86/7,709.40
  6. Step 6: Final answer
    x = 10,251.90

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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.