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Finding the Fourth Proportional to 11,731.12, 17,599.68 and 8,647.84

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Solution

The fourth proportional to 11,731.12, 17,599.68 and 8,647.84 is: 12,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.12 : 17,599.68 = 8,647.84 : x
  2. Step 2: Convert to fraction form
    11,731.12/17,599.68 = 8,647.84/x
  3. Step 3: Cross multiply
    11,731.12x = 17,599.68 × 8,647.84
  4. Step 4: Simplify right side
    11,731.12x = 152,199,216.69
  5. Step 5: Solve for x
    x = 152,199,216.69/11,731.12
  6. Step 6: Final answer
    x = 12,973.97

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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.