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Finding the Fourth Proportional to 6,635.14, 9,952.71 and 2,018.14

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Solution

The fourth proportional to 6,635.14, 9,952.71 and 2,018.14 is: 3,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.14 : 9,952.71 = 2,018.14 : x
  2. Step 2: Convert to fraction form
    6,635.14/9,952.71 = 2,018.14/x
  3. Step 3: Cross multiply
    6,635.14x = 9,952.71 × 2,018.14
  4. Step 4: Simplify right side
    6,635.14x = 20,085,962.16
  5. Step 5: Solve for x
    x = 20,085,962.16/6,635.14
  6. Step 6: Final answer
    x = 3,027.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.