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Finding the Fourth Proportional to 8,652.96, 12,967.12 and 6,696

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Solution

The fourth proportional to 8,652.96, 12,967.12 and 6,696 is: 10,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.96 : 12,967.12 = 6,696 : x
  2. Step 2: Convert to fraction form
    8,652.96/12,967.12 = 6,696/x
  3. Step 3: Cross multiply
    8,652.96x = 12,967.12 × 6,696
  4. Step 4: Simplify right side
    8,652.96x = 86,827,835.52
  5. Step 5: Solve for x
    x = 86,827,835.52/8,652.96
  6. Step 6: Final answer
    x = 10,034.47

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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.