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Finding the Fourth Proportional to 11,330.70, 15,634.64 and 6,294.46

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Solution

The fourth proportional to 11,330.70, 15,634.64 and 6,294.46 is: 8,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.70 : 15,634.64 = 6,294.46 : x
  2. Step 2: Convert to fraction form
    11,330.70/15,634.64 = 6,294.46/x
  3. Step 3: Cross multiply
    11,330.70x = 15,634.64 × 6,294.46
  4. Step 4: Simplify right side
    11,330.70x = 98,411,584.62
  5. Step 5: Solve for x
    x = 98,411,584.62/11,330.70
  6. Step 6: Final answer
    x = 8,685.39

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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.