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Finding the Fourth Proportional to 11,763.57, 16,233.99 and 6,458.40

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Solution

The fourth proportional to 11,763.57, 16,233.99 and 6,458.40 is: 8,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.57 : 16,233.99 = 6,458.40 : x
  2. Step 2: Convert to fraction form
    11,763.57/16,233.99 = 6,458.40/x
  3. Step 3: Cross multiply
    11,763.57x = 16,233.99 × 6,458.40
  4. Step 4: Simplify right side
    11,763.57x = 104,845,601.02
  5. Step 5: Solve for x
    x = 104,845,601.02/11,763.57
  6. Step 6: Final answer
    x = 8,912.74

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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.