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Finding the Fourth Proportional to 12,377, 18,568.38 and 4,169

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Solution

The fourth proportional to 12,377, 18,568.38 and 4,169 is: 6,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377 : 18,568.38 = 4,169 : x
  2. Step 2: Convert to fraction form
    12,377/18,568.38 = 4,169/x
  3. Step 3: Cross multiply
    12,377x = 18,568.38 × 4,169
  4. Step 4: Simplify right side
    12,377x = 77,411,576.22
  5. Step 5: Solve for x
    x = 77,411,576.22/12,377
  6. Step 6: Final answer
    x = 6,254.47

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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.