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Finding the Fourth Proportional to 7,039.46, 9,714.14 and 3,895.44

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Solution

The fourth proportional to 7,039.46, 9,714.14 and 3,895.44 is: 5,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.46 : 9,714.14 = 3,895.44 : x
  2. Step 2: Convert to fraction form
    7,039.46/9,714.14 = 3,895.44/x
  3. Step 3: Cross multiply
    7,039.46x = 9,714.14 × 3,895.44
  4. Step 4: Simplify right side
    7,039.46x = 37,840,849.52
  5. Step 5: Solve for x
    x = 37,840,849.52/7,039.46
  6. Step 6: Final answer
    x = 5,375.53

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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.