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Finding the Fourth Proportional to 6,392.51, 9,585.72 and 2,232.01

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Solution

The fourth proportional to 6,392.51, 9,585.72 and 2,232.01 is: 3,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.51 : 9,585.72 = 2,232.01 : x
  2. Step 2: Convert to fraction form
    6,392.51/9,585.72 = 2,232.01/x
  3. Step 3: Cross multiply
    6,392.51x = 9,585.72 × 2,232.01
  4. Step 4: Simplify right side
    6,392.51x = 21,395,422.90
  5. Step 5: Solve for x
    x = 21,395,422.90/6,392.51
  6. Step 6: Final answer
    x = 3,346.95

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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.