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Finding the Fourth Proportional to 7,098.90, 10,650.19 and 3,403.98

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Solution

The fourth proportional to 7,098.90, 10,650.19 and 3,403.98 is: 5,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.90 : 10,650.19 = 3,403.98 : x
  2. Step 2: Convert to fraction form
    7,098.90/10,650.19 = 3,403.98/x
  3. Step 3: Cross multiply
    7,098.90x = 10,650.19 × 3,403.98
  4. Step 4: Simplify right side
    7,098.90x = 36,253,033.76
  5. Step 5: Solve for x
    x = 36,253,033.76/7,098.90
  6. Step 6: Final answer
    x = 5,106.85

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1.5x scale

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.