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Finding the Fourth Proportional to 6,657.90, 9,990.36 and 5,096.94

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Solution

The fourth proportional to 6,657.90, 9,990.36 and 5,096.94 is: 7,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.90 : 9,990.36 = 5,096.94 : x
  2. Step 2: Convert to fraction form
    6,657.90/9,990.36 = 5,096.94/x
  3. Step 3: Cross multiply
    6,657.90x = 9,990.36 × 5,096.94
  4. Step 4: Simplify right side
    6,657.90x = 50,920,265.50
  5. Step 5: Solve for x
    x = 50,920,265.50/6,657.90
  6. Step 6: Final answer
    x = 7,648.10

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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.