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Finding the Fourth Proportional to 12,078.38, 16,652.84 and 7,822.38

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Solution

The fourth proportional to 12,078.38, 16,652.84 and 7,822.38 is: 10,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.38 : 16,652.84 = 7,822.38 : x
  2. Step 2: Convert to fraction form
    12,078.38/16,652.84 = 7,822.38/x
  3. Step 3: Cross multiply
    12,078.38x = 16,652.84 × 7,822.38
  4. Step 4: Simplify right side
    12,078.38x = 130,264,842.56
  5. Step 5: Solve for x
    x = 130,264,842.56/12,078.38
  6. Step 6: Final answer
    x = 10,784.96

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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.