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Finding the Fourth Proportional to 11,662.94, 16,094.94 and 6,357.74

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Solution

The fourth proportional to 11,662.94, 16,094.94 and 6,357.74 is: 8,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.94 : 16,094.94 = 6,357.74 : x
  2. Step 2: Convert to fraction form
    11,662.94/16,094.94 = 6,357.74/x
  3. Step 3: Cross multiply
    11,662.94x = 16,094.94 × 6,357.74
  4. Step 4: Simplify right side
    11,662.94x = 102,327,363.36
  5. Step 5: Solve for x
    x = 102,327,363.36/11,662.94
  6. Step 6: Final answer
    x = 8,773.72

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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.