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Finding the Fourth Proportional to 6,974.72, 10,462.74 and 2,294.76

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Solution

The fourth proportional to 6,974.72, 10,462.74 and 2,294.76 is: 3,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.72 : 10,462.74 = 2,294.76 : x
  2. Step 2: Convert to fraction form
    6,974.72/10,462.74 = 2,294.76/x
  3. Step 3: Cross multiply
    6,974.72x = 10,462.74 × 2,294.76
  4. Step 4: Simplify right side
    6,974.72x = 24,009,477.24
  5. Step 5: Solve for x
    x = 24,009,477.24/6,974.72
  6. Step 6: Final answer
    x = 3,442.36

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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.