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Finding the Fourth Proportional to 6,374.56, 9,567.60 and 4,324

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Solution

The fourth proportional to 6,374.56, 9,567.60 and 4,324 is: 6,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.56 : 9,567.60 = 4,324 : x
  2. Step 2: Convert to fraction form
    6,374.56/9,567.60 = 4,324/x
  3. Step 3: Cross multiply
    6,374.56x = 9,567.60 × 4,324
  4. Step 4: Simplify right side
    6,374.56x = 41,370,302.40
  5. Step 5: Solve for x
    x = 41,370,302.40/6,374.56
  6. Step 6: Final answer
    x = 6,489.91

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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.