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Finding the Fourth Proportional to 12,247.96, 16,900.48 and 6,942.64

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Solution

The fourth proportional to 12,247.96, 16,900.48 and 6,942.64 is: 9,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.96 : 16,900.48 = 6,942.64 : x
  2. Step 2: Convert to fraction form
    12,247.96/16,900.48 = 6,942.64/x
  3. Step 3: Cross multiply
    12,247.96x = 16,900.48 × 6,942.64
  4. Step 4: Simplify right side
    12,247.96x = 117,333,948.47
  5. Step 5: Solve for x
    x = 117,333,948.47/12,247.96
  6. Step 6: Final answer
    x = 9,579.88

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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.