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Finding the Fourth Proportional to 14,742.80, 22,084.56 and 7,324.80

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Solution

The fourth proportional to 14,742.80, 22,084.56 and 7,324.80 is: 10,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.80 : 22,084.56 = 7,324.80 : x
  2. Step 2: Convert to fraction form
    14,742.80/22,084.56 = 7,324.80/x
  3. Step 3: Cross multiply
    14,742.80x = 22,084.56 × 7,324.80
  4. Step 4: Simplify right side
    14,742.80x = 161,764,985.09
  5. Step 5: Solve for x
    x = 161,764,985.09/14,742.80
  6. Step 6: Final answer
    x = 10,972.47

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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.