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Finding the Fourth Proportional to 14,742.81, 22,114.22 and 3,649.34

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Solution

The fourth proportional to 14,742.81, 22,114.22 and 3,649.34 is: 5,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.81 : 22,114.22 = 3,649.34 : x
  2. Step 2: Convert to fraction form
    14,742.81/22,114.22 = 3,649.34/x
  3. Step 3: Cross multiply
    14,742.81x = 22,114.22 × 3,649.34
  4. Step 4: Simplify right side
    14,742.81x = 80,702,178.80
  5. Step 5: Solve for x
    x = 80,702,178.80/14,742.81
  6. Step 6: Final answer
    x = 5,474.00

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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.