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Finding the Fourth Proportional to 7,853.41, 11,780.12 and 2,662.93

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Solution

The fourth proportional to 7,853.41, 11,780.12 and 2,662.93 is: 3,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.41 : 11,780.12 = 2,662.93 : x
  2. Step 2: Convert to fraction form
    7,853.41/11,780.12 = 2,662.93/x
  3. Step 3: Cross multiply
    7,853.41x = 11,780.12 × 2,662.93
  4. Step 4: Simplify right side
    7,853.41x = 31,369,634.95
  5. Step 5: Solve for x
    x = 31,369,634.95/7,853.41
  6. Step 6: Final answer
    x = 3,994.40

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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.