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Finding the Fourth Proportional to 11,283.78, 16,892.85 and 8,375.07

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Solution

The fourth proportional to 11,283.78, 16,892.85 and 8,375.07 is: 12,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.78 : 16,892.85 = 8,375.07 : x
  2. Step 2: Convert to fraction form
    11,283.78/16,892.85 = 8,375.07/x
  3. Step 3: Cross multiply
    11,283.78x = 16,892.85 × 8,375.07
  4. Step 4: Simplify right side
    11,283.78x = 141,478,801.25
  5. Step 5: Solve for x
    x = 141,478,801.25/11,283.78
  6. Step 6: Final answer
    x = 12,538.25

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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.