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Finding the Fourth Proportional to 12,146.92, 16,762.78 and 7,043.42

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Solution

The fourth proportional to 12,146.92, 16,762.78 and 7,043.42 is: 9,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.92 : 16,762.78 = 7,043.42 : x
  2. Step 2: Convert to fraction form
    12,146.92/16,762.78 = 7,043.42/x
  3. Step 3: Cross multiply
    12,146.92x = 16,762.78 × 7,043.42
  4. Step 4: Simplify right side
    12,146.92x = 118,067,350.62
  5. Step 5: Solve for x
    x = 118,067,350.62/12,146.92
  6. Step 6: Final answer
    x = 9,719.94

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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.