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Finding the Fourth Proportional to 27,182.88, 40,774.36 and 7,461.68

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Solution

The fourth proportional to 27,182.88, 40,774.36 and 7,461.68 is: 11,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.88 : 40,774.36 = 7,461.68 : x
  2. Step 2: Convert to fraction form
    27,182.88/40,774.36 = 7,461.68/x
  3. Step 3: Cross multiply
    27,182.88x = 40,774.36 × 7,461.68
  4. Step 4: Simplify right side
    27,182.88x = 304,245,226.52
  5. Step 5: Solve for x
    x = 304,245,226.52/27,182.88
  6. Step 6: Final answer
    x = 11,192.53

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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.