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Finding the Fourth Proportional to 9,575.36, 14,362.68 and 2,649.68

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Solution

The fourth proportional to 9,575.36, 14,362.68 and 2,649.68 is: 3,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.36 : 14,362.68 = 2,649.68 : x
  2. Step 2: Convert to fraction form
    9,575.36/14,362.68 = 2,649.68/x
  3. Step 3: Cross multiply
    9,575.36x = 14,362.68 × 2,649.68
  4. Step 4: Simplify right side
    9,575.36x = 38,056,505.94
  5. Step 5: Solve for x
    x = 38,056,505.94/9,575.36
  6. Step 6: Final answer
    x = 3,974.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.