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Finding the Fourth Proportional to 9,669.40, 14,504.10 and 2,649.40

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Solution

The fourth proportional to 9,669.40, 14,504.10 and 2,649.40 is: 3,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.40 : 14,504.10 = 2,649.40 : x
  2. Step 2: Convert to fraction form
    9,669.40/14,504.10 = 2,649.40/x
  3. Step 3: Cross multiply
    9,669.40x = 14,504.10 × 2,649.40
  4. Step 4: Simplify right side
    9,669.40x = 38,427,162.54
  5. Step 5: Solve for x
    x = 38,427,162.54/9,669.40
  6. Step 6: Final answer
    x = 3,974.10

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Similar ratio
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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.