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Finding the Fourth Proportional to 12,059.76, 18,077.24 and 6,854.64

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Solution

The fourth proportional to 12,059.76, 18,077.24 and 6,854.64 is: 10,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.76 : 18,077.24 = 6,854.64 : x
  2. Step 2: Convert to fraction form
    12,059.76/18,077.24 = 6,854.64/x
  3. Step 3: Cross multiply
    12,059.76x = 18,077.24 × 6,854.64
  4. Step 4: Simplify right side
    12,059.76x = 123,912,972.39
  5. Step 5: Solve for x
    x = 123,912,972.39/12,059.76
  6. Step 6: Final answer
    x = 10,274.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.