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Finding the Fourth Proportional to 5,334.36, 7,982.19 and 4,643.61

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Solution

The fourth proportional to 5,334.36, 7,982.19 and 4,643.61 is: 6,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.36 : 7,982.19 = 4,643.61 : x
  2. Step 2: Convert to fraction form
    5,334.36/7,982.19 = 4,643.61/x
  3. Step 3: Cross multiply
    5,334.36x = 7,982.19 × 4,643.61
  4. Step 4: Simplify right side
    5,334.36x = 37,066,177.31
  5. Step 5: Solve for x
    x = 37,066,177.31/5,334.36
  6. Step 6: Final answer
    x = 6,948.57

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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.