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Finding the Fourth Proportional to 8,361.64, 11,539.07 and 4,584.70

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Solution

The fourth proportional to 8,361.64, 11,539.07 and 4,584.70 is: 6,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.64 : 11,539.07 = 4,584.70 : x
  2. Step 2: Convert to fraction form
    8,361.64/11,539.07 = 4,584.70/x
  3. Step 3: Cross multiply
    8,361.64x = 11,539.07 × 4,584.70
  4. Step 4: Simplify right side
    8,361.64x = 52,903,174.23
  5. Step 5: Solve for x
    x = 52,903,174.23/8,361.64
  6. Step 6: Final answer
    x = 6,326.89

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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.