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Finding the Fourth Proportional to 11,775.52, 17,662.74 and 3,455.20

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Solution

The fourth proportional to 11,775.52, 17,662.74 and 3,455.20 is: 5,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.52 : 17,662.74 = 3,455.20 : x
  2. Step 2: Convert to fraction form
    11,775.52/17,662.74 = 3,455.20/x
  3. Step 3: Cross multiply
    11,775.52x = 17,662.74 × 3,455.20
  4. Step 4: Simplify right side
    11,775.52x = 61,028,299.25
  5. Step 5: Solve for x
    x = 61,028,299.25/11,775.52
  6. Step 6: Final answer
    x = 5,182.64

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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.