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Finding the Fourth Proportional to 11,602, 16,010.76 and 6,634

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Solution

The fourth proportional to 11,602, 16,010.76 and 6,634 is: 9,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602 : 16,010.76 = 6,634 : x
  2. Step 2: Convert to fraction form
    11,602/16,010.76 = 6,634/x
  3. Step 3: Cross multiply
    11,602x = 16,010.76 × 6,634
  4. Step 4: Simplify right side
    11,602x = 106,215,381.84
  5. Step 5: Solve for x
    x = 106,215,381.84/11,602
  6. Step 6: Final answer
    x = 9,154.92

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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.