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Finding the Fourth Proportional to 15,706.78, 21,676.01 and 8,633.25

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Solution

The fourth proportional to 15,706.78, 21,676.01 and 8,633.25 is: 11,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.78 : 21,676.01 = 8,633.25 : x
  2. Step 2: Convert to fraction form
    15,706.78/21,676.01 = 8,633.25/x
  3. Step 3: Cross multiply
    15,706.78x = 21,676.01 × 8,633.25
  4. Step 4: Simplify right side
    15,706.78x = 187,134,370.17
  5. Step 5: Solve for x
    x = 187,134,370.17/15,706.78
  6. Step 6: Final answer
    x = 11,914.24

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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.