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Finding the Fourth Proportional to 9,118.34, 12,584.26 and 5,583.90

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Solution

The fourth proportional to 9,118.34, 12,584.26 and 5,583.90 is: 7,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.34 : 12,584.26 = 5,583.90 : x
  2. Step 2: Convert to fraction form
    9,118.34/12,584.26 = 5,583.90/x
  3. Step 3: Cross multiply
    9,118.34x = 12,584.26 × 5,583.90
  4. Step 4: Simplify right side
    9,118.34x = 70,269,249.41
  5. Step 5: Solve for x
    x = 70,269,249.41/9,118.34
  6. Step 6: Final answer
    x = 7,706.36

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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.