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Finding the Fourth Proportional to 13,882, 19,157.56 and 7,594.80

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Solution

The fourth proportional to 13,882, 19,157.56 and 7,594.80 is: 10,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882 : 19,157.56 = 7,594.80 : x
  2. Step 2: Convert to fraction form
    13,882/19,157.56 = 7,594.80/x
  3. Step 3: Cross multiply
    13,882x = 19,157.56 × 7,594.80
  4. Step 4: Simplify right side
    13,882x = 145,497,836.69
  5. Step 5: Solve for x
    x = 145,497,836.69/13,882
  6. Step 6: Final answer
    x = 10,481.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.