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Finding the Fourth Proportional to 7,028.95, 9,702.17 and 4,198.42

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Solution

The fourth proportional to 7,028.95, 9,702.17 and 4,198.42 is: 5,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.95 : 9,702.17 = 4,198.42 : x
  2. Step 2: Convert to fraction form
    7,028.95/9,702.17 = 4,198.42/x
  3. Step 3: Cross multiply
    7,028.95x = 9,702.17 × 4,198.42
  4. Step 4: Simplify right side
    7,028.95x = 40,733,784.57
  5. Step 5: Solve for x
    x = 40,733,784.57/7,028.95
  6. Step 6: Final answer
    x = 5,795.15

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1.5x scale

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.