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Finding the Fourth Proportional to 12,322.84, 17,005.74 and 6,733.72

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Solution

The fourth proportional to 12,322.84, 17,005.74 and 6,733.72 is: 9,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.84 : 17,005.74 = 6,733.72 : x
  2. Step 2: Convert to fraction form
    12,322.84/17,005.74 = 6,733.72/x
  3. Step 3: Cross multiply
    12,322.84x = 17,005.74 × 6,733.72
  4. Step 4: Simplify right side
    12,322.84x = 114,511,891.55
  5. Step 5: Solve for x
    x = 114,511,891.55/12,322.84
  6. Step 6: Final answer
    x = 9,292.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.