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Finding the Fourth Proportional to 10,825.88, 14,940.86 and 6,353.42

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Solution

The fourth proportional to 10,825.88, 14,940.86 and 6,353.42 is: 8,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.88 : 14,940.86 = 6,353.42 : x
  2. Step 2: Convert to fraction form
    10,825.88/14,940.86 = 6,353.42/x
  3. Step 3: Cross multiply
    10,825.88x = 14,940.86 × 6,353.42
  4. Step 4: Simplify right side
    10,825.88x = 94,925,452.27
  5. Step 5: Solve for x
    x = 94,925,452.27/10,825.88
  6. Step 6: Final answer
    x = 8,768.39

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1.5x scale

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.