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Finding the Fourth Proportional to 12,063, 16,649.82 and 7,097.88

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Solution

The fourth proportional to 12,063, 16,649.82 and 7,097.88 is: 9,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063 : 16,649.82 = 7,097.88 : x
  2. Step 2: Convert to fraction form
    12,063/16,649.82 = 7,097.88/x
  3. Step 3: Cross multiply
    12,063x = 16,649.82 × 7,097.88
  4. Step 4: Simplify right side
    12,063x = 118,178,424.38
  5. Step 5: Solve for x
    x = 118,178,424.38/12,063
  6. Step 6: Final answer
    x = 9,796.77

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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.