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Finding the Fourth Proportional to 7,035.50, 9,709.22 and 3,892.30

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Solution

The fourth proportional to 7,035.50, 9,709.22 and 3,892.30 is: 5,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.50 : 9,709.22 = 3,892.30 : x
  2. Step 2: Convert to fraction form
    7,035.50/9,709.22 = 3,892.30/x
  3. Step 3: Cross multiply
    7,035.50x = 9,709.22 × 3,892.30
  4. Step 4: Simplify right side
    7,035.50x = 37,791,197.01
  5. Step 5: Solve for x
    x = 37,791,197.01/7,035.50
  6. Step 6: Final answer
    x = 5,371.50

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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.