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Finding the Fourth Proportional to 7,712.44, 11,574.74 and 3,964.07

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Solution

The fourth proportional to 7,712.44, 11,574.74 and 3,964.07 is: 5,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.44 : 11,574.74 = 3,964.07 : x
  2. Step 2: Convert to fraction form
    7,712.44/11,574.74 = 3,964.07/x
  3. Step 3: Cross multiply
    7,712.44x = 11,574.74 × 3,964.07
  4. Step 4: Simplify right side
    7,712.44x = 45,883,001.90
  5. Step 5: Solve for x
    x = 45,883,001.90/7,712.44
  6. Step 6: Final answer
    x = 5,949.22

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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.