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Finding the Fourth Proportional to 6,992.84, 10,490.70 and 2,609.24

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Solution

The fourth proportional to 6,992.84, 10,490.70 and 2,609.24 is: 3,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.84 : 10,490.70 = 2,609.24 : x
  2. Step 2: Convert to fraction form
    6,992.84/10,490.70 = 2,609.24/x
  3. Step 3: Cross multiply
    6,992.84x = 10,490.70 × 2,609.24
  4. Step 4: Simplify right side
    6,992.84x = 27,372,754.07
  5. Step 5: Solve for x
    x = 27,372,754.07/6,992.84
  6. Step 6: Final answer
    x = 3,914.40

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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.