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Finding the Fourth Proportional to 12,464.17, 17,199.35 and 6,874.81

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Solution

The fourth proportional to 12,464.17, 17,199.35 and 6,874.81 is: 9,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.17 : 17,199.35 = 6,874.81 : x
  2. Step 2: Convert to fraction form
    12,464.17/17,199.35 = 6,874.81/x
  3. Step 3: Cross multiply
    12,464.17x = 17,199.35 × 6,874.81
  4. Step 4: Simplify right side
    12,464.17x = 118,242,177.38
  5. Step 5: Solve for x
    x = 118,242,177.38/12,464.17
  6. Step 6: Final answer
    x = 9,486.57

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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.