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Finding the Fourth Proportional to 8,354.56, 11,503.06 and 7,093

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Solution

The fourth proportional to 8,354.56, 11,503.06 and 7,093 is: 9,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.56 : 11,503.06 = 7,093 : x
  2. Step 2: Convert to fraction form
    8,354.56/11,503.06 = 7,093/x
  3. Step 3: Cross multiply
    8,354.56x = 11,503.06 × 7,093
  4. Step 4: Simplify right side
    8,354.56x = 81,591,204.58
  5. Step 5: Solve for x
    x = 81,591,204.58/8,354.56
  6. Step 6: Final answer
    x = 9,766.07

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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.