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Finding the Fourth Proportional to 9,455.40, 14,198.46 and 4,847.40

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Solution

The fourth proportional to 9,455.40, 14,198.46 and 4,847.40 is: 7,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.40 : 14,198.46 = 4,847.40 : x
  2. Step 2: Convert to fraction form
    9,455.40/14,198.46 = 4,847.40/x
  3. Step 3: Cross multiply
    9,455.40x = 14,198.46 × 4,847.40
  4. Step 4: Simplify right side
    9,455.40x = 68,825,615.00
  5. Step 5: Solve for x
    x = 68,825,615.00/9,455.40
  6. Step 6: Final answer
    x = 7,278.97

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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.