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Finding the Fourth Proportional to 10,632, 14,672.16 and 6,216

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Solution

The fourth proportional to 10,632, 14,672.16 and 6,216 is: 8,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632 : 14,672.16 = 6,216 : x
  2. Step 2: Convert to fraction form
    10,632/14,672.16 = 6,216/x
  3. Step 3: Cross multiply
    10,632x = 14,672.16 × 6,216
  4. Step 4: Simplify right side
    10,632x = 91,202,146.56
  5. Step 5: Solve for x
    x = 91,202,146.56/10,632
  6. Step 6: Final answer
    x = 8,578.08

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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.