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Finding the Fourth Proportional to 12,222.84, 16,867.53 and 6,633.84

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Solution

The fourth proportional to 12,222.84, 16,867.53 and 6,633.84 is: 9,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.84 : 16,867.53 = 6,633.84 : x
  2. Step 2: Convert to fraction form
    12,222.84/16,867.53 = 6,633.84/x
  3. Step 3: Cross multiply
    12,222.84x = 16,867.53 × 6,633.84
  4. Step 4: Simplify right side
    12,222.84x = 111,896,495.22
  5. Step 5: Solve for x
    x = 111,896,495.22/12,222.84
  6. Step 6: Final answer
    x = 9,154.71

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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.