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Finding the Fourth Proportional to 7,350.90, 10,150.97 and 4,702.96

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Solution

The fourth proportional to 7,350.90, 10,150.97 and 4,702.96 is: 6,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.90 : 10,150.97 = 4,702.96 : x
  2. Step 2: Convert to fraction form
    7,350.90/10,150.97 = 4,702.96/x
  3. Step 3: Cross multiply
    7,350.90x = 10,150.97 × 4,702.96
  4. Step 4: Simplify right side
    7,350.90x = 47,739,621.50
  5. Step 5: Solve for x
    x = 47,739,621.50/7,350.90
  6. Step 6: Final answer
    x = 6,494.39

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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.