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Finding the Fourth Proportional to 10,952.76, 15,114.71 and 6,174.24

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Solution

The fourth proportional to 10,952.76, 15,114.71 and 6,174.24 is: 8,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.76 : 15,114.71 = 6,174.24 : x
  2. Step 2: Convert to fraction form
    10,952.76/15,114.71 = 6,174.24/x
  3. Step 3: Cross multiply
    10,952.76x = 15,114.71 × 6,174.24
  4. Step 4: Simplify right side
    10,952.76x = 93,321,771.50
  5. Step 5: Solve for x
    x = 93,321,771.50/10,952.76
  6. Step 6: Final answer
    x = 8,520.39

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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.