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Finding the Fourth Proportional to 21,980.36, 32,963.64 and 7,938.54

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Solution

The fourth proportional to 21,980.36, 32,963.64 and 7,938.54 is: 11,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.36 : 32,963.64 = 7,938.54 : x
  2. Step 2: Convert to fraction form
    21,980.36/32,963.64 = 7,938.54/x
  3. Step 3: Cross multiply
    21,980.36x = 32,963.64 × 7,938.54
  4. Step 4: Simplify right side
    21,980.36x = 261,683,174.69
  5. Step 5: Solve for x
    x = 261,683,174.69/21,980.36
  6. Step 6: Final answer
    x = 11,905.32

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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.