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Finding the Fourth Proportional to 6,361.92, 9,534.48 and 3,069

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Solution

The fourth proportional to 6,361.92, 9,534.48 and 3,069 is: 4,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.92 : 9,534.48 = 3,069 : x
  2. Step 2: Convert to fraction form
    6,361.92/9,534.48 = 3,069/x
  3. Step 3: Cross multiply
    6,361.92x = 9,534.48 × 3,069
  4. Step 4: Simplify right side
    6,361.92x = 29,261,319.12
  5. Step 5: Solve for x
    x = 29,261,319.12/6,361.92
  6. Step 6: Final answer
    x = 4,599.45

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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.