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Finding the Fourth Proportional to 9,273.54, 13,916.42 and 8,658.42

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Solution

The fourth proportional to 9,273.54, 13,916.42 and 8,658.42 is: 12,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.54 : 13,916.42 = 8,658.42 : x
  2. Step 2: Convert to fraction form
    9,273.54/13,916.42 = 8,658.42/x
  3. Step 3: Cross multiply
    9,273.54x = 13,916.42 × 8,658.42
  4. Step 4: Simplify right side
    9,273.54x = 120,494,209.26
  5. Step 5: Solve for x
    x = 120,494,209.26/9,273.54
  6. Step 6: Final answer
    x = 12,993.33

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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.