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Finding the Fourth Proportional to 9,096.09, 13,644.08 and 2,522.25

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Solution

The fourth proportional to 9,096.09, 13,644.08 and 2,522.25 is: 3,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.09 : 13,644.08 = 2,522.25 : x
  2. Step 2: Convert to fraction form
    9,096.09/13,644.08 = 2,522.25/x
  3. Step 3: Cross multiply
    9,096.09x = 13,644.08 × 2,522.25
  4. Step 4: Simplify right side
    9,096.09x = 34,413,699.95
  5. Step 5: Solve for x
    x = 34,413,699.95/9,096.09
  6. Step 6: Final answer
    x = 3,783.35

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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.