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Finding the Fourth Proportional to 6,279.50, 9,420.96 and 5,106.60

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Solution

The fourth proportional to 6,279.50, 9,420.96 and 5,106.60 is: 7,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.50 : 9,420.96 = 5,106.60 : x
  2. Step 2: Convert to fraction form
    6,279.50/9,420.96 = 5,106.60/x
  3. Step 3: Cross multiply
    6,279.50x = 9,420.96 × 5,106.60
  4. Step 4: Simplify right side
    6,279.50x = 48,109,074.34
  5. Step 5: Solve for x
    x = 48,109,074.34/6,279.50
  6. Step 6: Final answer
    x = 7,661.30

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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.