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Finding the Fourth Proportional to 14,454, 21,689.68 and 6,246

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Solution

The fourth proportional to 14,454, 21,689.68 and 6,246 is: 9,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 21,689.68 = 6,246 : x
  2. Step 2: Convert to fraction form
    14,454/21,689.68 = 6,246/x
  3. Step 3: Cross multiply
    14,454x = 21,689.68 × 6,246
  4. Step 4: Simplify right side
    14,454x = 135,473,741.28
  5. Step 5: Solve for x
    x = 135,473,741.28/14,454
  6. Step 6: Final answer
    x = 9,372.75

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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.