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Finding the Fourth Proportional to 12,664.40, 18,968.04 and 6,095.50

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Solution

The fourth proportional to 12,664.40, 18,968.04 and 6,095.50 is: 9,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.40 : 18,968.04 = 6,095.50 : x
  2. Step 2: Convert to fraction form
    12,664.40/18,968.04 = 6,095.50/x
  3. Step 3: Cross multiply
    12,664.40x = 18,968.04 × 6,095.50
  4. Step 4: Simplify right side
    12,664.40x = 115,619,640.40
  5. Step 5: Solve for x
    x = 115,619,640.40/12,664.40
  6. Step 6: Final answer
    x = 9,129.50

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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.