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Finding the Fourth Proportional to 7,974.72, 11,964.48 and 2,710.72

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Solution

The fourth proportional to 7,974.72, 11,964.48 and 2,710.72 is: 4,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.72 : 11,964.48 = 2,710.72 : x
  2. Step 2: Convert to fraction form
    7,974.72/11,964.48 = 2,710.72/x
  3. Step 3: Cross multiply
    7,974.72x = 11,964.48 × 2,710.72
  4. Step 4: Simplify right side
    7,974.72x = 32,432,355.23
  5. Step 5: Solve for x
    x = 32,432,355.23/7,974.72
  6. Step 6: Final answer
    x = 4,066.90

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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.