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Finding the Fourth Proportional to 7,059.06, 9,741.92 and 4,035.12

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Solution

The fourth proportional to 7,059.06, 9,741.92 and 4,035.12 is: 5,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.06 : 9,741.92 = 4,035.12 : x
  2. Step 2: Convert to fraction form
    7,059.06/9,741.92 = 4,035.12/x
  3. Step 3: Cross multiply
    7,059.06x = 9,741.92 × 4,035.12
  4. Step 4: Simplify right side
    7,059.06x = 39,309,796.05
  5. Step 5: Solve for x
    x = 39,309,796.05/7,059.06
  6. Step 6: Final answer
    x = 5,568.70

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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.