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Finding the Fourth Proportional to 13,048, 18,006.56 and 7,742.86

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Solution

The fourth proportional to 13,048, 18,006.56 and 7,742.86 is: 10,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048 : 18,006.56 = 7,742.86 : x
  2. Step 2: Convert to fraction form
    13,048/18,006.56 = 7,742.86/x
  3. Step 3: Cross multiply
    13,048x = 18,006.56 × 7,742.86
  4. Step 4: Simplify right side
    13,048x = 139,422,234.45
  5. Step 5: Solve for x
    x = 139,422,234.45/13,048
  6. Step 6: Final answer
    x = 10,685.33

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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.