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Finding the Fourth Proportional to 7,234.14, 9,983.70 and 4,048.14

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Solution

The fourth proportional to 7,234.14, 9,983.70 and 4,048.14 is: 5,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.14 : 9,983.70 = 4,048.14 : x
  2. Step 2: Convert to fraction form
    7,234.14/9,983.70 = 4,048.14/x
  3. Step 3: Cross multiply
    7,234.14x = 9,983.70 × 4,048.14
  4. Step 4: Simplify right side
    7,234.14x = 40,415,415.32
  5. Step 5: Solve for x
    x = 40,415,415.32/7,234.14
  6. Step 6: Final answer
    x = 5,586.76

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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.