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Finding the Fourth Proportional to 9,797.84, 14,682.36 and 7,722.92

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Solution

The fourth proportional to 9,797.84, 14,682.36 and 7,722.92 is: 11,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.84 : 14,682.36 = 7,722.92 : x
  2. Step 2: Convert to fraction form
    9,797.84/14,682.36 = 7,722.92/x
  3. Step 3: Cross multiply
    9,797.84x = 14,682.36 × 7,722.92
  4. Step 4: Simplify right side
    9,797.84x = 113,390,691.69
  5. Step 5: Solve for x
    x = 113,390,691.69/9,797.84
  6. Step 6: Final answer
    x = 11,573.03

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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.