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Finding the Fourth Proportional to 9,698.82, 14,519.50 and 5,989.12

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Solution

The fourth proportional to 9,698.82, 14,519.50 and 5,989.12 is: 8,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.82 : 14,519.50 = 5,989.12 : x
  2. Step 2: Convert to fraction form
    9,698.82/14,519.50 = 5,989.12/x
  3. Step 3: Cross multiply
    9,698.82x = 14,519.50 × 5,989.12
  4. Step 4: Simplify right side
    9,698.82x = 86,959,027.84
  5. Step 5: Solve for x
    x = 86,959,027.84/9,698.82
  6. Step 6: Final answer
    x = 8,965.94

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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.