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Finding the Fourth Proportional to 9,257.94, 13,880.73 and 5,099.94

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Solution

The fourth proportional to 9,257.94, 13,880.73 and 5,099.94 is: 7,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.94 : 13,880.73 = 5,099.94 : x
  2. Step 2: Convert to fraction form
    9,257.94/13,880.73 = 5,099.94/x
  3. Step 3: Cross multiply
    9,257.94x = 13,880.73 × 5,099.94
  4. Step 4: Simplify right side
    9,257.94x = 70,790,890.16
  5. Step 5: Solve for x
    x = 70,790,890.16/9,257.94
  6. Step 6: Final answer
    x = 7,646.51

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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.