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Finding the Fourth Proportional to 15,135.67, 22,682.71 and 7,724.58

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Solution

The fourth proportional to 15,135.67, 22,682.71 and 7,724.58 is: 11,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.67 : 22,682.71 = 7,724.58 : x
  2. Step 2: Convert to fraction form
    15,135.67/22,682.71 = 7,724.58/x
  3. Step 3: Cross multiply
    15,135.67x = 22,682.71 × 7,724.58
  4. Step 4: Simplify right side
    15,135.67x = 175,214,408.01
  5. Step 5: Solve for x
    x = 175,214,408.01/15,135.67
  6. Step 6: Final answer
    x = 11,576.26

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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.