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Finding the Fourth Proportional to 9,789.68, 14,684.00 and 3,464.12

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Solution

The fourth proportional to 9,789.68, 14,684.00 and 3,464.12 is: 5,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.68 : 14,684.00 = 3,464.12 : x
  2. Step 2: Convert to fraction form
    9,789.68/14,684.00 = 3,464.12/x
  3. Step 3: Cross multiply
    9,789.68x = 14,684.00 × 3,464.12
  4. Step 4: Simplify right side
    9,789.68x = 50,867,094.36
  5. Step 5: Solve for x
    x = 50,867,094.36/9,789.68
  6. Step 6: Final answer
    x = 5,195.99

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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.