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Finding the Fourth Proportional to 15,676.58, 23,496.33 and 6,893.12

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Solution

The fourth proportional to 15,676.58, 23,496.33 and 6,893.12 is: 10,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.58 : 23,496.33 = 6,893.12 : x
  2. Step 2: Convert to fraction form
    15,676.58/23,496.33 = 6,893.12/x
  3. Step 3: Cross multiply
    15,676.58x = 23,496.33 × 6,893.12
  4. Step 4: Simplify right side
    15,676.58x = 161,963,022.25
  5. Step 5: Solve for x
    x = 161,963,022.25/15,676.58
  6. Step 6: Final answer
    x = 10,331.53

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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.