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Finding the Fourth Proportional to 12,185.90, 16,816.58 and 6,596.90

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Solution

The fourth proportional to 12,185.90, 16,816.58 and 6,596.90 is: 9,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.90 : 16,816.58 = 6,596.90 : x
  2. Step 2: Convert to fraction form
    12,185.90/16,816.58 = 6,596.90/x
  3. Step 3: Cross multiply
    12,185.90x = 16,816.58 × 6,596.90
  4. Step 4: Simplify right side
    12,185.90x = 110,937,296.60
  5. Step 5: Solve for x
    x = 110,937,296.60/12,185.90
  6. Step 6: Final answer
    x = 9,103.74

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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.