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Finding the Fourth Proportional to 12,673.64, 19,018.62 and 6,834.32

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Solution

The fourth proportional to 12,673.64, 19,018.62 and 6,834.32 is: 10,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.64 : 19,018.62 = 6,834.32 : x
  2. Step 2: Convert to fraction form
    12,673.64/19,018.62 = 6,834.32/x
  3. Step 3: Cross multiply
    12,673.64x = 19,018.62 × 6,834.32
  4. Step 4: Simplify right side
    12,673.64x = 129,979,335.04
  5. Step 5: Solve for x
    x = 129,979,335.04/12,673.64
  6. Step 6: Final answer
    x = 10,255.88

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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.