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Finding the Fourth Proportional to 11,602.98, 16,012.16 and 6,297.80

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Solution

The fourth proportional to 11,602.98, 16,012.16 and 6,297.80 is: 8,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.98 : 16,012.16 = 6,297.80 : x
  2. Step 2: Convert to fraction form
    11,602.98/16,012.16 = 6,297.80/x
  3. Step 3: Cross multiply
    11,602.98x = 16,012.16 × 6,297.80
  4. Step 4: Simplify right side
    11,602.98x = 100,841,381.25
  5. Step 5: Solve for x
    x = 100,841,381.25/11,602.98
  6. Step 6: Final answer
    x = 8,690.99

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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.