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Finding the Fourth Proportional to 12,576.80, 17,355.18 and 7,541.42

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Solution

The fourth proportional to 12,576.80, 17,355.18 and 7,541.42 is: 10,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.80 : 17,355.18 = 7,541.42 : x
  2. Step 2: Convert to fraction form
    12,576.80/17,355.18 = 7,541.42/x
  3. Step 3: Cross multiply
    12,576.80x = 17,355.18 × 7,541.42
  4. Step 4: Simplify right side
    12,576.80x = 130,882,701.56
  5. Step 5: Solve for x
    x = 130,882,701.56/12,576.80
  6. Step 6: Final answer
    x = 10,406.68

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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.