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Finding the Fourth Proportional to 15,583.28, 23,383.43 and 9,022.28

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Solution

The fourth proportional to 15,583.28, 23,383.43 and 9,022.28 is: 13,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.28 : 23,383.43 = 9,022.28 : x
  2. Step 2: Convert to fraction form
    15,583.28/23,383.43 = 9,022.28/x
  3. Step 3: Cross multiply
    15,583.28x = 23,383.43 × 9,022.28
  4. Step 4: Simplify right side
    15,583.28x = 210,971,900.00
  5. Step 5: Solve for x
    x = 210,971,900.00/15,583.28
  6. Step 6: Final answer
    x = 13,538.35

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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.