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Finding the Fourth Proportional to 7,234.73, 9,983.61 and 4,048.32

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Solution

The fourth proportional to 7,234.73, 9,983.61 and 4,048.32 is: 5,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.73 : 9,983.61 = 4,048.32 : x
  2. Step 2: Convert to fraction form
    7,234.73/9,983.61 = 4,048.32/x
  3. Step 3: Cross multiply
    7,234.73x = 9,983.61 × 4,048.32
  4. Step 4: Simplify right side
    7,234.73x = 40,416,848.04
  5. Step 5: Solve for x
    x = 40,416,848.04/7,234.73
  6. Step 6: Final answer
    x = 5,586.51

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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.