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Finding the Fourth Proportional to 12,762.88, 19,165.44 and 8,629.60

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Solution

The fourth proportional to 12,762.88, 19,165.44 and 8,629.60 is: 12,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.88 : 19,165.44 = 8,629.60 : x
  2. Step 2: Convert to fraction form
    12,762.88/19,165.44 = 8,629.60/x
  3. Step 3: Cross multiply
    12,762.88x = 19,165.44 × 8,629.60
  4. Step 4: Simplify right side
    12,762.88x = 165,390,081.02
  5. Step 5: Solve for x
    x = 165,390,081.02/12,762.88
  6. Step 6: Final answer
    x = 12,958.68

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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.