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Finding the Fourth Proportional to 12,176.56, 16,786.92 and 7,698.07

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Solution

The fourth proportional to 12,176.56, 16,786.92 and 7,698.07 is: 10,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.56 : 16,786.92 = 7,698.07 : x
  2. Step 2: Convert to fraction form
    12,176.56/16,786.92 = 7,698.07/x
  3. Step 3: Cross multiply
    12,176.56x = 16,786.92 × 7,698.07
  4. Step 4: Simplify right side
    12,176.56x = 129,226,885.24
  5. Step 5: Solve for x
    x = 129,226,885.24/12,176.56
  6. Step 6: Final answer
    x = 10,612.76

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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.