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Finding the Fourth Proportional to 12,983.58, 17,919 and 8,511.12

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Solution

The fourth proportional to 12,983.58, 17,919 and 8,511.12 is: 11,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.58 : 17,919 = 8,511.12 : x
  2. Step 2: Convert to fraction form
    12,983.58/17,919 = 8,511.12/x
  3. Step 3: Cross multiply
    12,983.58x = 17,919 × 8,511.12
  4. Step 4: Simplify right side
    12,983.58x = 152,510,759.28
  5. Step 5: Solve for x
    x = 152,510,759.28/12,983.58
  6. Step 6: Final answer
    x = 11,746.43

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Double scale
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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.