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Finding the Fourth Proportional to 11,602.96, 16,012.10 and 6,297.78

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Solution

The fourth proportional to 11,602.96, 16,012.10 and 6,297.78 is: 8,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.96 : 16,012.10 = 6,297.78 : x
  2. Step 2: Convert to fraction form
    11,602.96/16,012.10 = 6,297.78/x
  3. Step 3: Cross multiply
    11,602.96x = 16,012.10 × 6,297.78
  4. Step 4: Simplify right side
    11,602.96x = 100,840,587.33
  5. Step 5: Solve for x
    x = 100,840,587.33/11,602.96
  6. Step 6: Final answer
    x = 8,690.94

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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.