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Finding the Fourth Proportional to 8,784.51, 13,162.14 and 6,181.98

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Solution

The fourth proportional to 8,784.51, 13,162.14 and 6,181.98 is: 9,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.51 : 13,162.14 = 6,181.98 : x
  2. Step 2: Convert to fraction form
    8,784.51/13,162.14 = 6,181.98/x
  3. Step 3: Cross multiply
    8,784.51x = 13,162.14 × 6,181.98
  4. Step 4: Simplify right side
    8,784.51x = 81,368,086.24
  5. Step 5: Solve for x
    x = 81,368,086.24/8,784.51
  6. Step 6: Final answer
    x = 9,262.68

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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.