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Finding the Fourth Proportional to 11,842.53, 17,762.39 and 9,212.67

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Solution

The fourth proportional to 11,842.53, 17,762.39 and 9,212.67 is: 13,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.53 : 17,762.39 = 9,212.67 : x
  2. Step 2: Convert to fraction form
    11,842.53/17,762.39 = 9,212.67/x
  3. Step 3: Cross multiply
    11,842.53x = 17,762.39 × 9,212.67
  4. Step 4: Simplify right side
    11,842.53x = 163,638,991.42
  5. Step 5: Solve for x
    x = 163,638,991.42/11,842.53
  6. Step 6: Final answer
    x = 13,817.91

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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.