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Finding the Fourth Proportional to 7,493.10, 11,229.93 and 5,024.22

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Solution

The fourth proportional to 7,493.10, 11,229.93 and 5,024.22 is: 7,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.10 : 11,229.93 = 5,024.22 : x
  2. Step 2: Convert to fraction form
    7,493.10/11,229.93 = 5,024.22/x
  3. Step 3: Cross multiply
    7,493.10x = 11,229.93 × 5,024.22
  4. Step 4: Simplify right side
    7,493.10x = 56,421,638.90
  5. Step 5: Solve for x
    x = 56,421,638.90/7,493.10
  6. Step 6: Final answer
    x = 7,529.81

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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.