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Finding the Fourth Proportional to 12,171.60, 16,796.73 and 6,582.60

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Solution

The fourth proportional to 12,171.60, 16,796.73 and 6,582.60 is: 9,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.60 : 16,796.73 = 6,582.60 : x
  2. Step 2: Convert to fraction form
    12,171.60/16,796.73 = 6,582.60/x
  3. Step 3: Cross multiply
    12,171.60x = 16,796.73 × 6,582.60
  4. Step 4: Simplify right side
    12,171.60x = 110,566,154.90
  5. Step 5: Solve for x
    x = 110,566,154.90/12,171.60
  6. Step 6: Final answer
    x = 9,083.95

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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.