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Finding the Fourth Proportional to 7,035.56, 9,709.08 and 3,892.22

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Solution

The fourth proportional to 7,035.56, 9,709.08 and 3,892.22 is: 5,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.56 : 9,709.08 = 3,892.22 : x
  2. Step 2: Convert to fraction form
    7,035.56/9,709.08 = 3,892.22/x
  3. Step 3: Cross multiply
    7,035.56x = 9,709.08 × 3,892.22
  4. Step 4: Simplify right side
    7,035.56x = 37,789,899.63
  5. Step 5: Solve for x
    x = 37,789,899.63/7,035.56
  6. Step 6: Final answer
    x = 5,371.27

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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.