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Finding the Fourth Proportional to 10,218.72, 14,098.24 and 6,684

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Solution

The fourth proportional to 10,218.72, 14,098.24 and 6,684 is: 9,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.72 : 14,098.24 = 6,684 : x
  2. Step 2: Convert to fraction form
    10,218.72/14,098.24 = 6,684/x
  3. Step 3: Cross multiply
    10,218.72x = 14,098.24 × 6,684
  4. Step 4: Simplify right side
    10,218.72x = 94,232,636.16
  5. Step 5: Solve for x
    x = 94,232,636.16/10,218.72
  6. Step 6: Final answer
    x = 9,221.57

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