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Finding the Fourth Proportional to 11,735.66, 17,577.65 and 11,088.66

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Solution

The fourth proportional to 11,735.66, 17,577.65 and 11,088.66 is: 16,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.66 : 17,577.65 = 11,088.66 : x
  2. Step 2: Convert to fraction form
    11,735.66/17,577.65 = 11,088.66/x
  3. Step 3: Cross multiply
    11,735.66x = 17,577.65 × 11,088.66
  4. Step 4: Simplify right side
    11,735.66x = 194,912,529.01
  5. Step 5: Solve for x
    x = 194,912,529.01/11,735.66
  6. Step 6: Final answer
    x = 16,608.58

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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.