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Finding the Fourth Proportional to 11,297, 15,589.83 and 6,261.23

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Solution

The fourth proportional to 11,297, 15,589.83 and 6,261.23 is: 8,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 15,589.83 = 6,261.23 : x
  2. Step 2: Convert to fraction form
    11,297/15,589.83 = 6,261.23/x
  3. Step 3: Cross multiply
    11,297x = 15,589.83 × 6,261.23
  4. Step 4: Simplify right side
    11,297x = 97,611,511.29
  5. Step 5: Solve for x
    x = 97,611,511.29/11,297
  6. Step 6: Final answer
    x = 8,640.48

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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.