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Finding the Fourth Proportional to 12,704.29, 17,530.17 and 7,037.64

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Solution

The fourth proportional to 12,704.29, 17,530.17 and 7,037.64 is: 9,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.29 : 17,530.17 = 7,037.64 : x
  2. Step 2: Convert to fraction form
    12,704.29/17,530.17 = 7,037.64/x
  3. Step 3: Cross multiply
    12,704.29x = 17,530.17 × 7,037.64
  4. Step 4: Simplify right side
    12,704.29x = 123,370,937.95
  5. Step 5: Solve for x
    x = 123,370,937.95/12,704.29
  6. Step 6: Final answer
    x = 9,710.97

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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.