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Finding the Fourth Proportional to 7,375.82, 10,178.21 and 4,232.00

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Solution

The fourth proportional to 7,375.82, 10,178.21 and 4,232.00 is: 5,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.82 : 10,178.21 = 4,232.00 : x
  2. Step 2: Convert to fraction form
    7,375.82/10,178.21 = 4,232.00/x
  3. Step 3: Cross multiply
    7,375.82x = 10,178.21 × 4,232.00
  4. Step 4: Simplify right side
    7,375.82x = 43,074,220.75
  5. Step 5: Solve for x
    x = 43,074,220.75/7,375.82
  6. Step 6: Final answer
    x = 5,839.93

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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.