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Finding the Fourth Proportional to 3,309.17, 4,964.07 and 844.01

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Solution

The fourth proportional to 3,309.17, 4,964.07 and 844.01 is: 1,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.17 : 4,964.07 = 844.01 : x
  2. Step 2: Convert to fraction form
    3,309.17/4,964.07 = 844.01/x
  3. Step 3: Cross multiply
    3,309.17x = 4,964.07 × 844.01
  4. Step 4: Simplify right side
    3,309.17x = 4,189,713.51
  5. Step 5: Solve for x
    x = 4,189,713.51/3,309.17
  6. Step 6: Final answer
    x = 1,266.09

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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.