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Finding the Fourth Proportional to 5,066.34, 6,991.34 and 2,828.14

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Solution

The fourth proportional to 5,066.34, 6,991.34 and 2,828.14 is: 3,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.34 : 6,991.34 = 2,828.14 : x
  2. Step 2: Convert to fraction form
    5,066.34/6,991.34 = 2,828.14/x
  3. Step 3: Cross multiply
    5,066.34x = 6,991.34 × 2,828.14
  4. Step 4: Simplify right side
    5,066.34x = 19,772,488.31
  5. Step 5: Solve for x
    x = 19,772,488.31/5,066.34
  6. Step 6: Final answer
    x = 3,902.72

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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.