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Finding the Fourth Proportional to 6,974.64, 10,460.58 and 3,460.98

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Solution

The fourth proportional to 6,974.64, 10,460.58 and 3,460.98 is: 5,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.64 : 10,460.58 = 3,460.98 : x
  2. Step 2: Convert to fraction form
    6,974.64/10,460.58 = 3,460.98/x
  3. Step 3: Cross multiply
    6,974.64x = 10,460.58 × 3,460.98
  4. Step 4: Simplify right side
    6,974.64x = 36,203,858.17
  5. Step 5: Solve for x
    x = 36,203,858.17/6,974.64
  6. Step 6: Final answer
    x = 5,190.79

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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.