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Finding the Fourth Proportional to 7,137.44, 9,849.88 and 3,907.46

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Solution

The fourth proportional to 7,137.44, 9,849.88 and 3,907.46 is: 5,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.44 : 9,849.88 = 3,907.46 : x
  2. Step 2: Convert to fraction form
    7,137.44/9,849.88 = 3,907.46/x
  3. Step 3: Cross multiply
    7,137.44x = 9,849.88 × 3,907.46
  4. Step 4: Simplify right side
    7,137.44x = 38,488,012.10
  5. Step 5: Solve for x
    x = 38,488,012.10/7,137.44
  6. Step 6: Final answer
    x = 5,392.41

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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.