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Finding the Fourth Proportional to 7,039.57, 9,714.60 and 3,896.23

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Solution

The fourth proportional to 7,039.57, 9,714.60 and 3,896.23 is: 5,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.57 : 9,714.60 = 3,896.23 : x
  2. Step 2: Convert to fraction form
    7,039.57/9,714.60 = 3,896.23/x
  3. Step 3: Cross multiply
    7,039.57x = 9,714.60 × 3,896.23
  4. Step 4: Simplify right side
    7,039.57x = 37,850,315.96
  5. Step 5: Solve for x
    x = 37,850,315.96/7,039.57
  6. Step 6: Final answer
    x = 5,376.79

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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.