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Finding the Fourth Proportional to 9,843.70, 14,766.45 and 3,999.10

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Solution

The fourth proportional to 9,843.70, 14,766.45 and 3,999.10 is: 5,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.70 : 14,766.45 = 3,999.10 : x
  2. Step 2: Convert to fraction form
    9,843.70/14,766.45 = 3,999.10/x
  3. Step 3: Cross multiply
    9,843.70x = 14,766.45 × 3,999.10
  4. Step 4: Simplify right side
    9,843.70x = 59,052,510.20
  5. Step 5: Solve for x
    x = 59,052,510.20/9,843.70
  6. Step 6: Final answer
    x = 5,999.02

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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.