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Finding the Fourth Proportional to 10,757.43, 16,114.50 and 6,070.50

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Solution

The fourth proportional to 10,757.43, 16,114.50 and 6,070.50 is: 9,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.43 : 16,114.50 = 6,070.50 : x
  2. Step 2: Convert to fraction form
    10,757.43/16,114.50 = 6,070.50/x
  3. Step 3: Cross multiply
    10,757.43x = 16,114.50 × 6,070.50
  4. Step 4: Simplify right side
    10,757.43x = 97,823,072.25
  5. Step 5: Solve for x
    x = 97,823,072.25/10,757.43
  6. Step 6: Final answer
    x = 9,093.54

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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.