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Finding the Fourth Proportional to 8,971.60, 13,444.20 and 6,511.60

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Solution

The fourth proportional to 8,971.60, 13,444.20 and 6,511.60 is: 9,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.60 : 13,444.20 = 6,511.60 : x
  2. Step 2: Convert to fraction form
    8,971.60/13,444.20 = 6,511.60/x
  3. Step 3: Cross multiply
    8,971.60x = 13,444.20 × 6,511.60
  4. Step 4: Simplify right side
    8,971.60x = 87,543,252.72
  5. Step 5: Solve for x
    x = 87,543,252.72/8,971.60
  6. Step 6: Final answer
    x = 9,757.82

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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.