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Finding the Fourth Proportional to 12,299.70, 16,968.48 and 7,825.92

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Solution

The fourth proportional to 12,299.70, 16,968.48 and 7,825.92 is: 10,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.70 : 16,968.48 = 7,825.92 : x
  2. Step 2: Convert to fraction form
    12,299.70/16,968.48 = 7,825.92/x
  3. Step 3: Cross multiply
    12,299.70x = 16,968.48 × 7,825.92
  4. Step 4: Simplify right side
    12,299.70x = 132,793,967.00
  5. Step 5: Solve for x
    x = 132,793,967.00/12,299.70
  6. Step 6: Final answer
    x = 10,796.52

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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.