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Finding the Fourth Proportional to 9,158.94, 13,736.94 and 2,585.58

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Solution

The fourth proportional to 9,158.94, 13,736.94 and 2,585.58 is: 3,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.94 : 13,736.94 = 2,585.58 : x
  2. Step 2: Convert to fraction form
    9,158.94/13,736.94 = 2,585.58/x
  3. Step 3: Cross multiply
    9,158.94x = 13,736.94 × 2,585.58
  4. Step 4: Simplify right side
    9,158.94x = 35,517,957.33
  5. Step 5: Solve for x
    x = 35,517,957.33/9,158.94
  6. Step 6: Final answer
    x = 3,877.96

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1.5x scale

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.