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Finding the Fourth Proportional to 12,771.17, 17,624.74 and 7,732.56

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Solution

The fourth proportional to 12,771.17, 17,624.74 and 7,732.56 is: 10,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.17 : 17,624.74 = 7,732.56 : x
  2. Step 2: Convert to fraction form
    12,771.17/17,624.74 = 7,732.56/x
  3. Step 3: Cross multiply
    12,771.17x = 17,624.74 × 7,732.56
  4. Step 4: Simplify right side
    12,771.17x = 136,284,420.79
  5. Step 5: Solve for x
    x = 136,284,420.79/12,771.17
  6. Step 6: Final answer
    x = 10,671.26

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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.