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Finding the Fourth Proportional to 5,863.76, 8,840 and 5,546.24

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Solution

The fourth proportional to 5,863.76, 8,840 and 5,546.24 is: 8,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.76 : 8,840 = 5,546.24 : x
  2. Step 2: Convert to fraction form
    5,863.76/8,840 = 5,546.24/x
  3. Step 3: Cross multiply
    5,863.76x = 8,840 × 5,546.24
  4. Step 4: Simplify right side
    5,863.76x = 49,028,761.60
  5. Step 5: Solve for x
    x = 49,028,761.60/5,863.76
  6. Step 6: Final answer
    x = 8,361.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.