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Finding the Fourth Proportional to 4,477.82, 6,728.06 and 2,835.14

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Solution

The fourth proportional to 4,477.82, 6,728.06 and 2,835.14 is: 4,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.82 : 6,728.06 = 2,835.14 : x
  2. Step 2: Convert to fraction form
    4,477.82/6,728.06 = 2,835.14/x
  3. Step 3: Cross multiply
    4,477.82x = 6,728.06 × 2,835.14
  4. Step 4: Simplify right side
    4,477.82x = 19,074,965.48
  5. Step 5: Solve for x
    x = 19,074,965.48/4,477.82
  6. Step 6: Final answer
    x = 4,259.88

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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.