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Finding the Fourth Proportional to 12,596.65, 18,894.55 and 6,764.65

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Solution

The fourth proportional to 12,596.65, 18,894.55 and 6,764.65 is: 10,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.65 : 18,894.55 = 6,764.65 : x
  2. Step 2: Convert to fraction form
    12,596.65/18,894.55 = 6,764.65/x
  3. Step 3: Cross multiply
    12,596.65x = 18,894.55 × 6,764.65
  4. Step 4: Simplify right side
    12,596.65x = 127,815,017.66
  5. Step 5: Solve for x
    x = 127,815,017.66/12,596.65
  6. Step 6: Final answer
    x = 10,146.75

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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.