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Finding the Fourth Proportional to 9,096.76, 13,645.09 and 7,860.41

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Solution

The fourth proportional to 9,096.76, 13,645.09 and 7,860.41 is: 11,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.76 : 13,645.09 = 7,860.41 : x
  2. Step 2: Convert to fraction form
    9,096.76/13,645.09 = 7,860.41/x
  3. Step 3: Cross multiply
    9,096.76x = 13,645.09 × 7,860.41
  4. Step 4: Simplify right side
    9,096.76x = 107,256,001.89
  5. Step 5: Solve for x
    x = 107,256,001.89/9,096.76
  6. Step 6: Final answer
    x = 11,790.57

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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.