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Finding the Fourth Proportional to 5,614.21, 7,748.13 and 3,224.51

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Solution

The fourth proportional to 5,614.21, 7,748.13 and 3,224.51 is: 4,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.21 : 7,748.13 = 3,224.51 : x
  2. Step 2: Convert to fraction form
    5,614.21/7,748.13 = 3,224.51/x
  3. Step 3: Cross multiply
    5,614.21x = 7,748.13 × 3,224.51
  4. Step 4: Simplify right side
    5,614.21x = 24,983,922.67
  5. Step 5: Solve for x
    x = 24,983,922.67/5,614.21
  6. Step 6: Final answer
    x = 4,450.12

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.