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Finding the Fourth Proportional to 4,425.38, 6,638.06 and 1,828.38

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Solution

The fourth proportional to 4,425.38, 6,638.06 and 1,828.38 is: 2,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.38 : 6,638.06 = 1,828.38 : x
  2. Step 2: Convert to fraction form
    4,425.38/6,638.06 = 1,828.38/x
  3. Step 3: Cross multiply
    4,425.38x = 6,638.06 × 1,828.38
  4. Step 4: Simplify right side
    4,425.38x = 12,136,900.71
  5. Step 5: Solve for x
    x = 12,136,900.71/4,425.38
  6. Step 6: Final answer
    x = 2,742.57

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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.