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Finding the Fourth Proportional to 19,697.96, 29,548.78 and 7,848.88

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Solution

The fourth proportional to 19,697.96, 29,548.78 and 7,848.88 is: 11,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.96 : 29,548.78 = 7,848.88 : x
  2. Step 2: Convert to fraction form
    19,697.96/29,548.78 = 7,848.88/x
  3. Step 3: Cross multiply
    19,697.96x = 29,548.78 × 7,848.88
  4. Step 4: Simplify right side
    19,697.96x = 231,924,734.87
  5. Step 5: Solve for x
    x = 231,924,734.87/19,697.96
  6. Step 6: Final answer
    x = 11,774.05

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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.