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Finding the Fourth Proportional to 12,083.82, 18,130.90 and 6,541.10

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Solution

The fourth proportional to 12,083.82, 18,130.90 and 6,541.10 is: 9,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.82 : 18,130.90 = 6,541.10 : x
  2. Step 2: Convert to fraction form
    12,083.82/18,130.90 = 6,541.10/x
  3. Step 3: Cross multiply
    12,083.82x = 18,130.90 × 6,541.10
  4. Step 4: Simplify right side
    12,083.82x = 118,595,922.98
  5. Step 5: Solve for x
    x = 118,595,922.98/12,083.82
  6. Step 6: Final answer
    x = 9,814.44

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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.