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Finding the Fourth Proportional to 13,157.78, 18,149.25 and 7,848.50

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Solution

The fourth proportional to 13,157.78, 18,149.25 and 7,848.50 is: 10,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.78 : 18,149.25 = 7,848.50 : x
  2. Step 2: Convert to fraction form
    13,157.78/18,149.25 = 7,848.50/x
  3. Step 3: Cross multiply
    13,157.78x = 18,149.25 × 7,848.50
  4. Step 4: Simplify right side
    13,157.78x = 142,444,388.63
  5. Step 5: Solve for x
    x = 142,444,388.63/13,157.78
  6. Step 6: Final answer
    x = 10,825.87

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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.