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Finding the Fourth Proportional to 7,048.37, 9,727.14 and 4,024.38

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Solution

The fourth proportional to 7,048.37, 9,727.14 and 4,024.38 is: 5,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.37 : 9,727.14 = 4,024.38 : x
  2. Step 2: Convert to fraction form
    7,048.37/9,727.14 = 4,024.38/x
  3. Step 3: Cross multiply
    7,048.37x = 9,727.14 × 4,024.38
  4. Step 4: Simplify right side
    7,048.37x = 39,145,707.67
  5. Step 5: Solve for x
    x = 39,145,707.67/7,048.37
  6. Step 6: Final answer
    x = 5,553.87

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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.