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Finding the Fourth Proportional to 16,538.64, 24,808.08 and 6,676.08

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Solution

The fourth proportional to 16,538.64, 24,808.08 and 6,676.08 is: 10,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.64 : 24,808.08 = 6,676.08 : x
  2. Step 2: Convert to fraction form
    16,538.64/24,808.08 = 6,676.08/x
  3. Step 3: Cross multiply
    16,538.64x = 24,808.08 × 6,676.08
  4. Step 4: Simplify right side
    16,538.64x = 165,620,726.73
  5. Step 5: Solve for x
    x = 165,620,726.73/16,538.64
  6. Step 6: Final answer
    x = 10,014.17

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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.