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Finding the Fourth Proportional to 12,766.60, 17,617.87 and 7,460.36

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Solution

The fourth proportional to 12,766.60, 17,617.87 and 7,460.36 is: 10,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.60 : 17,617.87 = 7,460.36 : x
  2. Step 2: Convert to fraction form
    12,766.60/17,617.87 = 7,460.36/x
  3. Step 3: Cross multiply
    12,766.60x = 17,617.87 × 7,460.36
  4. Step 4: Simplify right side
    12,766.60x = 131,435,652.63
  5. Step 5: Solve for x
    x = 131,435,652.63/12,766.60
  6. Step 6: Final answer
    x = 10,295.27

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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.