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Finding the Fourth Proportional to 10,770.75, 14,864.19 and 6,294.24

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Solution

The fourth proportional to 10,770.75, 14,864.19 and 6,294.24 is: 8,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.75 : 14,864.19 = 6,294.24 : x
  2. Step 2: Convert to fraction form
    10,770.75/14,864.19 = 6,294.24/x
  3. Step 3: Cross multiply
    10,770.75x = 14,864.19 × 6,294.24
  4. Step 4: Simplify right side
    10,770.75x = 93,558,779.27
  5. Step 5: Solve for x
    x = 93,558,779.27/10,770.75
  6. Step 6: Final answer
    x = 8,686.38

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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.