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Finding the Fourth Proportional to 21,153, 31,728.28 and 6,361.64

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Solution

The fourth proportional to 21,153, 31,728.28 and 6,361.64 is: 9,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153 : 31,728.28 = 6,361.64 : x
  2. Step 2: Convert to fraction form
    21,153/31,728.28 = 6,361.64/x
  3. Step 3: Cross multiply
    21,153x = 31,728.28 × 6,361.64
  4. Step 4: Simplify right side
    21,153x = 201,843,895.18
  5. Step 5: Solve for x
    x = 201,843,895.18/21,153
  6. Step 6: Final answer
    x = 9,542.09

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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.