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Finding the Fourth Proportional to 12,704.58, 17,533.97 and 7,671.65

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Solution

The fourth proportional to 12,704.58, 17,533.97 and 7,671.65 is: 10,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.58 : 17,533.97 = 7,671.65 : x
  2. Step 2: Convert to fraction form
    12,704.58/17,533.97 = 7,671.65/x
  3. Step 3: Cross multiply
    12,704.58x = 17,533.97 × 7,671.65
  4. Step 4: Simplify right side
    12,704.58x = 134,514,383.69
  5. Step 5: Solve for x
    x = 134,514,383.69/12,704.58
  6. Step 6: Final answer
    x = 10,587.87

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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.