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Finding the Fourth Proportional to 9,812.75, 13,541.73 and 5,621

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Solution

The fourth proportional to 9,812.75, 13,541.73 and 5,621 is: 7,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.75 : 13,541.73 = 5,621 : x
  2. Step 2: Convert to fraction form
    9,812.75/13,541.73 = 5,621/x
  3. Step 3: Cross multiply
    9,812.75x = 13,541.73 × 5,621
  4. Step 4: Simplify right side
    9,812.75x = 76,118,064.33
  5. Step 5: Solve for x
    x = 76,118,064.33/9,812.75
  6. Step 6: Final answer
    x = 7,757.06

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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.