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Finding the Fourth Proportional to 10,633, 14,673.54 and 6,217

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Solution

The fourth proportional to 10,633, 14,673.54 and 6,217 is: 8,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633 : 14,673.54 = 6,217 : x
  2. Step 2: Convert to fraction form
    10,633/14,673.54 = 6,217/x
  3. Step 3: Cross multiply
    10,633x = 14,673.54 × 6,217
  4. Step 4: Simplify right side
    10,633x = 91,225,398.18
  5. Step 5: Solve for x
    x = 91,225,398.18/10,633
  6. Step 6: Final answer
    x = 8,579.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.