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Finding the Fourth Proportional to 7,232.81, 9,982.01 and 4,400.38

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Solution

The fourth proportional to 7,232.81, 9,982.01 and 4,400.38 is: 6,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.81 : 9,982.01 = 4,400.38 : x
  2. Step 2: Convert to fraction form
    7,232.81/9,982.01 = 4,400.38/x
  3. Step 3: Cross multiply
    7,232.81x = 9,982.01 × 4,400.38
  4. Step 4: Simplify right side
    7,232.81x = 43,924,660.64
  5. Step 5: Solve for x
    x = 43,924,660.64/7,232.81
  6. Step 6: Final answer
    x = 6,072.98

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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.