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Finding the Fourth Proportional to 11,624.84, 17,314.20 and 11,568.20

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Solution

The fourth proportional to 11,624.84, 17,314.20 and 11,568.20 is: 17,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.84 : 17,314.20 = 11,568.20 : x
  2. Step 2: Convert to fraction form
    11,624.84/17,314.20 = 11,568.20/x
  3. Step 3: Cross multiply
    11,624.84x = 17,314.20 × 11,568.20
  4. Step 4: Simplify right side
    11,624.84x = 200,294,041.87
  5. Step 5: Solve for x
    x = 200,294,041.87/11,624.84
  6. Step 6: Final answer
    x = 17,229.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.