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Finding the Fourth Proportional to 12,204.84, 16,842.69 and 6,615.84

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Solution

The fourth proportional to 12,204.84, 16,842.69 and 6,615.84 is: 9,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.84 : 16,842.69 = 6,615.84 : x
  2. Step 2: Convert to fraction form
    12,204.84/16,842.69 = 6,615.84/x
  3. Step 3: Cross multiply
    12,204.84x = 16,842.69 × 6,615.84
  4. Step 4: Simplify right side
    12,204.84x = 111,428,542.21
  5. Step 5: Solve for x
    x = 111,428,542.21/12,204.84
  6. Step 6: Final answer
    x = 9,129.87

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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.