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Finding the Fourth Proportional to 9,201.67, 13,783.03 and 7,637.96

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Solution

The fourth proportional to 9,201.67, 13,783.03 and 7,637.96 is: 11,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.67 : 13,783.03 = 7,637.96 : x
  2. Step 2: Convert to fraction form
    9,201.67/13,783.03 = 7,637.96/x
  3. Step 3: Cross multiply
    9,201.67x = 13,783.03 × 7,637.96
  4. Step 4: Simplify right side
    9,201.67x = 105,274,231.82
  5. Step 5: Solve for x
    x = 105,274,231.82/9,201.67
  6. Step 6: Final answer
    x = 11,440.77

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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.