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Finding the Fourth Proportional to 15,896.36, 21,938.02 and 9,182.27

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Solution

The fourth proportional to 15,896.36, 21,938.02 and 9,182.27 is: 12,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.36 : 21,938.02 = 9,182.27 : x
  2. Step 2: Convert to fraction form
    15,896.36/21,938.02 = 9,182.27/x
  3. Step 3: Cross multiply
    15,896.36x = 21,938.02 × 9,182.27
  4. Step 4: Simplify right side
    15,896.36x = 201,440,854.79
  5. Step 5: Solve for x
    x = 201,440,854.79/15,896.36
  6. Step 6: Final answer
    x = 12,672.14

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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.