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Finding the Fourth Proportional to 7,817.76, 11,728.41 and 2,623.50

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Solution

The fourth proportional to 7,817.76, 11,728.41 and 2,623.50 is: 3,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.76 : 11,728.41 = 2,623.50 : x
  2. Step 2: Convert to fraction form
    7,817.76/11,728.41 = 2,623.50/x
  3. Step 3: Cross multiply
    7,817.76x = 11,728.41 × 2,623.50
  4. Step 4: Simplify right side
    7,817.76x = 30,769,483.64
  5. Step 5: Solve for x
    x = 30,769,483.64/7,817.76
  6. Step 6: Final answer
    x = 3,935.84

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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.