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Finding the Fourth Proportional to 12,045, 16,632.36 and 7,576.23

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Solution

The fourth proportional to 12,045, 16,632.36 and 7,576.23 is: 10,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045 : 16,632.36 = 7,576.23 : x
  2. Step 2: Convert to fraction form
    12,045/16,632.36 = 7,576.23/x
  3. Step 3: Cross multiply
    12,045x = 16,632.36 × 7,576.23
  4. Step 4: Simplify right side
    12,045x = 126,010,584.80
  5. Step 5: Solve for x
    x = 126,010,584.80/12,045
  6. Step 6: Final answer
    x = 10,461.65

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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.