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Finding the Fourth Proportional to 9,789, 14,650.69 and 8,033.93

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Solution

The fourth proportional to 9,789, 14,650.69 and 8,033.93 is: 12,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789 : 14,650.69 = 8,033.93 : x
  2. Step 2: Convert to fraction form
    9,789/14,650.69 = 8,033.93/x
  3. Step 3: Cross multiply
    9,789x = 14,650.69 × 8,033.93
  4. Step 4: Simplify right side
    9,789x = 117,702,634.45
  5. Step 5: Solve for x
    x = 117,702,634.45/9,789
  6. Step 6: Final answer
    x = 12,023.97

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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.