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Finding the Fourth Proportional to 7,149.50, 10,709.90 and 4,024.82

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Solution

The fourth proportional to 7,149.50, 10,709.90 and 4,024.82 is: 6,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.50 : 10,709.90 = 4,024.82 : x
  2. Step 2: Convert to fraction form
    7,149.50/10,709.90 = 4,024.82/x
  3. Step 3: Cross multiply
    7,149.50x = 10,709.90 × 4,024.82
  4. Step 4: Simplify right side
    7,149.50x = 43,105,441.46
  5. Step 5: Solve for x
    x = 43,105,441.46/7,149.50
  6. Step 6: Final answer
    x = 6,029.16

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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.