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Finding the Fourth Proportional to 11,663, 16,094.90 and 6,357.80

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Solution

The fourth proportional to 11,663, 16,094.90 and 6,357.80 is: 8,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663 : 16,094.90 = 6,357.80 : x
  2. Step 2: Convert to fraction form
    11,663/16,094.90 = 6,357.80/x
  3. Step 3: Cross multiply
    11,663x = 16,094.90 × 6,357.80
  4. Step 4: Simplify right side
    11,663x = 102,328,123.43
  5. Step 5: Solve for x
    x = 102,328,123.43/11,663
  6. Step 6: Final answer
    x = 8,773.74

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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.