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Finding the Fourth Proportional to 12,369.48, 17,070.75 and 6,991.96

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Solution

The fourth proportional to 12,369.48, 17,070.75 and 6,991.96 is: 9,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.48 : 17,070.75 = 6,991.96 : x
  2. Step 2: Convert to fraction form
    12,369.48/17,070.75 = 6,991.96/x
  3. Step 3: Cross multiply
    12,369.48x = 17,070.75 × 6,991.96
  4. Step 4: Simplify right side
    12,369.48x = 119,357,915.82
  5. Step 5: Solve for x
    x = 119,357,915.82/12,369.48
  6. Step 6: Final answer
    x = 9,649.39

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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.