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Finding the Fourth Proportional to 9,102.63, 12,562.15 and 6,072.53

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Solution

The fourth proportional to 9,102.63, 12,562.15 and 6,072.53 is: 8,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.63 : 12,562.15 = 6,072.53 : x
  2. Step 2: Convert to fraction form
    9,102.63/12,562.15 = 6,072.53/x
  3. Step 3: Cross multiply
    9,102.63x = 12,562.15 × 6,072.53
  4. Step 4: Simplify right side
    9,102.63x = 76,283,954.75
  5. Step 5: Solve for x
    x = 76,283,954.75/9,102.63
  6. Step 6: Final answer
    x = 8,380.43

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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.