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Finding the Fourth Proportional to 8,361.87, 11,538.90 and 4,584.30

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Solution

The fourth proportional to 8,361.87, 11,538.90 and 4,584.30 is: 6,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.87 : 11,538.90 = 4,584.30 : x
  2. Step 2: Convert to fraction form
    8,361.87/11,538.90 = 4,584.30/x
  3. Step 3: Cross multiply
    8,361.87x = 11,538.90 × 4,584.30
  4. Step 4: Simplify right side
    8,361.87x = 52,897,779.27
  5. Step 5: Solve for x
    x = 52,897,779.27/8,361.87
  6. Step 6: Final answer
    x = 6,326.07

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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.