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Finding the Fourth Proportional to 5,624.38, 8,435.10 and 1,674.57

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Solution

The fourth proportional to 5,624.38, 8,435.10 and 1,674.57 is: 2,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.38 : 8,435.10 = 1,674.57 : x
  2. Step 2: Convert to fraction form
    5,624.38/8,435.10 = 1,674.57/x
  3. Step 3: Cross multiply
    5,624.38x = 8,435.10 × 1,674.57
  4. Step 4: Simplify right side
    5,624.38x = 14,125,165.41
  5. Step 5: Solve for x
    x = 14,125,165.41/5,624.38
  6. Step 6: Final answer
    x = 2,511.42

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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.