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Finding the Fourth Proportional to 6,927, 10,390.71 and 1,732.88

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Solution

The fourth proportional to 6,927, 10,390.71 and 1,732.88 is: 2,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927 : 10,390.71 = 1,732.88 : x
  2. Step 2: Convert to fraction form
    6,927/10,390.71 = 1,732.88/x
  3. Step 3: Cross multiply
    6,927x = 10,390.71 × 1,732.88
  4. Step 4: Simplify right side
    6,927x = 18,005,801.59
  5. Step 5: Solve for x
    x = 18,005,801.59/6,927
  6. Step 6: Final answer
    x = 2,599.37

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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.