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Finding the Fourth Proportional to 12,735.59, 17,576.07 and 7,429.28

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Solution

The fourth proportional to 12,735.59, 17,576.07 and 7,429.28 is: 10,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.59 : 17,576.07 = 7,429.28 : x
  2. Step 2: Convert to fraction form
    12,735.59/17,576.07 = 7,429.28/x
  3. Step 3: Cross multiply
    12,735.59x = 17,576.07 × 7,429.28
  4. Step 4: Simplify right side
    12,735.59x = 130,577,545.33
  5. Step 5: Solve for x
    x = 130,577,545.33/12,735.59
  6. Step 6: Final answer
    x = 10,252.96

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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.