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Finding the Fourth Proportional to 7,057.85, 9,739.94 and 3,871.42

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Solution

The fourth proportional to 7,057.85, 9,739.94 and 3,871.42 is: 5,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.85 : 9,739.94 = 3,871.42 : x
  2. Step 2: Convert to fraction form
    7,057.85/9,739.94 = 3,871.42/x
  3. Step 3: Cross multiply
    7,057.85x = 9,739.94 × 3,871.42
  4. Step 4: Simplify right side
    7,057.85x = 37,707,354.81
  5. Step 5: Solve for x
    x = 37,707,354.81/7,057.85
  6. Step 6: Final answer
    x = 5,342.62

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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.