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Finding the Fourth Proportional to 15,785.46, 21,784.06 and 8,615.43

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Solution

The fourth proportional to 15,785.46, 21,784.06 and 8,615.43 is: 11,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.46 : 21,784.06 = 8,615.43 : x
  2. Step 2: Convert to fraction form
    15,785.46/21,784.06 = 8,615.43/x
  3. Step 3: Cross multiply
    15,785.46x = 21,784.06 × 8,615.43
  4. Step 4: Simplify right side
    15,785.46x = 187,679,000.97
  5. Step 5: Solve for x
    x = 187,679,000.97/15,785.46
  6. Step 6: Final answer
    x = 11,889.36

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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.