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Finding the Fourth Proportional to 11,396.01, 17,100.51 and 9,102.09

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Solution

The fourth proportional to 11,396.01, 17,100.51 and 9,102.09 is: 13,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.01 : 17,100.51 = 9,102.09 : x
  2. Step 2: Convert to fraction form
    11,396.01/17,100.51 = 9,102.09/x
  3. Step 3: Cross multiply
    11,396.01x = 17,100.51 × 9,102.09
  4. Step 4: Simplify right side
    11,396.01x = 155,650,381.07
  5. Step 5: Solve for x
    x = 155,650,381.07/11,396.01
  6. Step 6: Final answer
    x = 13,658.32

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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.