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Finding the Fourth Proportional to 6,374.11, 9,564 and 3,252.47

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Solution

The fourth proportional to 6,374.11, 9,564 and 3,252.47 is: 4,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.11 : 9,564 = 3,252.47 : x
  2. Step 2: Convert to fraction form
    6,374.11/9,564 = 3,252.47/x
  3. Step 3: Cross multiply
    6,374.11x = 9,564 × 3,252.47
  4. Step 4: Simplify right side
    6,374.11x = 31,106,575.26
  5. Step 5: Solve for x
    x = 31,106,575.26/6,374.11
  6. Step 6: Final answer
    x = 4,880.15

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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.