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Finding the Fourth Proportional to 17,283.84, 23,852 and 10,568.64

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Solution

The fourth proportional to 17,283.84, 23,852 and 10,568.64 is: 14,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.84 : 23,852 = 10,568.64 : x
  2. Step 2: Convert to fraction form
    17,283.84/23,852 = 10,568.64/x
  3. Step 3: Cross multiply
    17,283.84x = 23,852 × 10,568.64
  4. Step 4: Simplify right side
    17,283.84x = 252,083,201.28
  5. Step 5: Solve for x
    x = 252,083,201.28/17,283.84
  6. Step 6: Final answer
    x = 14,584.91

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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.