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Finding the Fourth Proportional to 13,461.57, 18,576.74 and 7,493.07

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Solution

The fourth proportional to 13,461.57, 18,576.74 and 7,493.07 is: 10,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.57 : 18,576.74 = 7,493.07 : x
  2. Step 2: Convert to fraction form
    13,461.57/18,576.74 = 7,493.07/x
  3. Step 3: Cross multiply
    13,461.57x = 18,576.74 × 7,493.07
  4. Step 4: Simplify right side
    13,461.57x = 139,196,775.73
  5. Step 5: Solve for x
    x = 139,196,775.73/13,461.57
  6. Step 6: Final answer
    x = 10,340.31

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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.