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Finding the Fourth Proportional to 19,697.78, 29,551.50 and 5,846.78

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Solution

The fourth proportional to 19,697.78, 29,551.50 and 5,846.78 is: 8,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.78 : 29,551.50 = 5,846.78 : x
  2. Step 2: Convert to fraction form
    19,697.78/29,551.50 = 5,846.78/x
  3. Step 3: Cross multiply
    19,697.78x = 29,551.50 × 5,846.78
  4. Step 4: Simplify right side
    19,697.78x = 172,781,119.17
  5. Step 5: Solve for x
    x = 172,781,119.17/19,697.78
  6. Step 6: Final answer
    x = 8,771.60

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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.