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Finding the Fourth Proportional to 7,459, 11,190.94 and 2,264.88

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Solution

The fourth proportional to 7,459, 11,190.94 and 2,264.88 is: 3,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459 : 11,190.94 = 2,264.88 : x
  2. Step 2: Convert to fraction form
    7,459/11,190.94 = 2,264.88/x
  3. Step 3: Cross multiply
    7,459x = 11,190.94 × 2,264.88
  4. Step 4: Simplify right side
    7,459x = 25,346,136.19
  5. Step 5: Solve for x
    x = 25,346,136.19/7,459
  6. Step 6: Final answer
    x = 3,398.06

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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.