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Finding the Fourth Proportional to 12,185.87, 16,816.47 and 6,596.87

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Solution

The fourth proportional to 12,185.87, 16,816.47 and 6,596.87 is: 9,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.87 : 16,816.47 = 6,596.87 : x
  2. Step 2: Convert to fraction form
    12,185.87/16,816.47 = 6,596.87/x
  3. Step 3: Cross multiply
    12,185.87x = 16,816.47 × 6,596.87
  4. Step 4: Simplify right side
    12,185.87x = 110,936,066.45
  5. Step 5: Solve for x
    x = 110,936,066.45/12,185.87
  6. Step 6: Final answer
    x = 9,103.66

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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.