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Finding the Fourth Proportional to 9,322.84, 13,974.84 and 4,635.64

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Solution

The fourth proportional to 9,322.84, 13,974.84 and 4,635.64 is: 6,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.84 : 13,974.84 = 4,635.64 : x
  2. Step 2: Convert to fraction form
    9,322.84/13,974.84 = 4,635.64/x
  3. Step 3: Cross multiply
    9,322.84x = 13,974.84 × 4,635.64
  4. Step 4: Simplify right side
    9,322.84x = 64,782,327.30
  5. Step 5: Solve for x
    x = 64,782,327.30/9,322.84
  6. Step 6: Final answer
    x = 6,948.78

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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.