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Finding the Fourth Proportional to 6,539.50, 9,024.60 and 3,745

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Solution

The fourth proportional to 6,539.50, 9,024.60 and 3,745 is: 5,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.50 : 9,024.60 = 3,745 : x
  2. Step 2: Convert to fraction form
    6,539.50/9,024.60 = 3,745/x
  3. Step 3: Cross multiply
    6,539.50x = 9,024.60 × 3,745
  4. Step 4: Simplify right side
    6,539.50x = 33,797,127
  5. Step 5: Solve for x
    x = 33,797,127/6,539.50
  6. Step 6: Final answer
    x = 5,168.15

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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.