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Finding the Fourth Proportional to 7,608.85, 11,394.64 and 6,284.50

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Solution

The fourth proportional to 7,608.85, 11,394.64 and 6,284.50 is: 9,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.85 : 11,394.64 = 6,284.50 : x
  2. Step 2: Convert to fraction form
    7,608.85/11,394.64 = 6,284.50/x
  3. Step 3: Cross multiply
    7,608.85x = 11,394.64 × 6,284.50
  4. Step 4: Simplify right side
    7,608.85x = 71,609,615.08
  5. Step 5: Solve for x
    x = 71,609,615.08/7,608.85
  6. Step 6: Final answer
    x = 9,411.36

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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.