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Finding the Fourth Proportional to 6,017, 9,026.86 and 1,857.38

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Solution

The fourth proportional to 6,017, 9,026.86 and 1,857.38 is: 2,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017 : 9,026.86 = 1,857.38 : x
  2. Step 2: Convert to fraction form
    6,017/9,026.86 = 1,857.38/x
  3. Step 3: Cross multiply
    6,017x = 9,026.86 × 1,857.38
  4. Step 4: Simplify right side
    6,017x = 16,766,309.23
  5. Step 5: Solve for x
    x = 16,766,309.23/6,017
  6. Step 6: Final answer
    x = 2,786.49

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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.