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Finding the Fourth Proportional to 8,503.31, 11,734.67 and 4,777.31

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Solution

The fourth proportional to 8,503.31, 11,734.67 and 4,777.31 is: 6,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.31 : 11,734.67 = 4,777.31 : x
  2. Step 2: Convert to fraction form
    8,503.31/11,734.67 = 4,777.31/x
  3. Step 3: Cross multiply
    8,503.31x = 11,734.67 × 4,777.31
  4. Step 4: Simplify right side
    8,503.31x = 56,060,197.62
  5. Step 5: Solve for x
    x = 56,060,197.62/8,503.31
  6. Step 6: Final answer
    x = 6,592.75

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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.