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Finding the Fourth Proportional to 6,824.70, 9,417.90 and 4,172.10

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Solution

The fourth proportional to 6,824.70, 9,417.90 and 4,172.10 is: 5,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.70 : 9,417.90 = 4,172.10 : x
  2. Step 2: Convert to fraction form
    6,824.70/9,417.90 = 4,172.10/x
  3. Step 3: Cross multiply
    6,824.70x = 9,417.90 × 4,172.10
  4. Step 4: Simplify right side
    6,824.70x = 39,292,420.59
  5. Step 5: Solve for x
    x = 39,292,420.59/6,824.70
  6. Step 6: Final answer
    x = 5,757.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.