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Finding the Fourth Proportional to 6,584.60, 9,872.29 and 2,424.07

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Solution

The fourth proportional to 6,584.60, 9,872.29 and 2,424.07 is: 3,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.60 : 9,872.29 = 2,424.07 : x
  2. Step 2: Convert to fraction form
    6,584.60/9,872.29 = 2,424.07/x
  3. Step 3: Cross multiply
    6,584.60x = 9,872.29 × 2,424.07
  4. Step 4: Simplify right side
    6,584.60x = 23,931,068.22
  5. Step 5: Solve for x
    x = 23,931,068.22/6,584.60
  6. Step 6: Final answer
    x = 3,634.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.