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Finding the Fourth Proportional to 7,234.32, 9,982.95 and 4,047.00

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Solution

The fourth proportional to 7,234.32, 9,982.95 and 4,047.00 is: 5,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.32 : 9,982.95 = 4,047.00 : x
  2. Step 2: Convert to fraction form
    7,234.32/9,982.95 = 4,047.00/x
  3. Step 3: Cross multiply
    7,234.32x = 9,982.95 × 4,047.00
  4. Step 4: Simplify right side
    7,234.32x = 40,400,961.21
  5. Step 5: Solve for x
    x = 40,400,961.21/7,234.32
  6. Step 6: Final answer
    x = 5,584.63

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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.