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Finding the Fourth Proportional to 7,681.50, 11,523.47 and 3,983.04

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Solution

The fourth proportional to 7,681.50, 11,523.47 and 3,983.04 is: 5,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.50 : 11,523.47 = 3,983.04 : x
  2. Step 2: Convert to fraction form
    7,681.50/11,523.47 = 3,983.04/x
  3. Step 3: Cross multiply
    7,681.50x = 11,523.47 × 3,983.04
  4. Step 4: Simplify right side
    7,681.50x = 45,898,422.03
  5. Step 5: Solve for x
    x = 45,898,422.03/7,681.50
  6. Step 6: Final answer
    x = 5,975.19

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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.