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Finding the Fourth Proportional to 6,942.60, 10,416.60 and 3,044.26

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Solution

The fourth proportional to 6,942.60, 10,416.60 and 3,044.26 is: 4,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.60 : 10,416.60 = 3,044.26 : x
  2. Step 2: Convert to fraction form
    6,942.60/10,416.60 = 3,044.26/x
  3. Step 3: Cross multiply
    6,942.60x = 10,416.60 × 3,044.26
  4. Step 4: Simplify right side
    6,942.60x = 31,710,838.72
  5. Step 5: Solve for x
    x = 31,710,838.72/6,942.60
  6. Step 6: Final answer
    x = 4,567.57

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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.