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Finding the Fourth Proportional to 9,158.64, 13,740.54 and 2,584.86

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Solution

The fourth proportional to 9,158.64, 13,740.54 and 2,584.86 is: 3,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.64 : 13,740.54 = 2,584.86 : x
  2. Step 2: Convert to fraction form
    9,158.64/13,740.54 = 2,584.86/x
  3. Step 3: Cross multiply
    9,158.64x = 13,740.54 × 2,584.86
  4. Step 4: Simplify right side
    9,158.64x = 35,517,372.22
  5. Step 5: Solve for x
    x = 35,517,372.22/9,158.64
  6. Step 6: Final answer
    x = 3,878.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.