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Finding the Fourth Proportional to 6,482.88, 9,724.26 and 2,322.09

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Solution

The fourth proportional to 6,482.88, 9,724.26 and 2,322.09 is: 3,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.88 : 9,724.26 = 2,322.09 : x
  2. Step 2: Convert to fraction form
    6,482.88/9,724.26 = 2,322.09/x
  3. Step 3: Cross multiply
    6,482.88x = 9,724.26 × 2,322.09
  4. Step 4: Simplify right side
    6,482.88x = 22,580,606.90
  5. Step 5: Solve for x
    x = 22,580,606.90/6,482.88
  6. Step 6: Final answer
    x = 3,483.11

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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.