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Finding the Fourth Proportional to 27,187.98, 40,775.64 and 7,468.12

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Solution

The fourth proportional to 27,187.98, 40,775.64 and 7,468.12 is: 11,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.98 : 40,775.64 = 7,468.12 : x
  2. Step 2: Convert to fraction form
    27,187.98/40,775.64 = 7,468.12/x
  3. Step 3: Cross multiply
    27,187.98x = 40,775.64 × 7,468.12
  4. Step 4: Simplify right side
    27,187.98x = 304,517,372.60
  5. Step 5: Solve for x
    x = 304,517,372.60/27,187.98
  6. Step 6: Final answer
    x = 11,200.44

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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.