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Finding the Fourth Proportional to 12,954.42, 17,877.87 and 7,576.74

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Solution

The fourth proportional to 12,954.42, 17,877.87 and 7,576.74 is: 10,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.42 : 17,877.87 = 7,576.74 : x
  2. Step 2: Convert to fraction form
    12,954.42/17,877.87 = 7,576.74/x
  3. Step 3: Cross multiply
    12,954.42x = 17,877.87 × 7,576.74
  4. Step 4: Simplify right side
    12,954.42x = 135,455,972.74
  5. Step 5: Solve for x
    x = 135,455,972.74/12,954.42
  6. Step 6: Final answer
    x = 10,456.35

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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.