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Finding the Fourth Proportional to 27,272.76, 40,905.05 and 9,506.13

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Solution

The fourth proportional to 27,272.76, 40,905.05 and 9,506.13 is: 14,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272.76 : 40,905.05 = 9,506.13 : x
  2. Step 2: Convert to fraction form
    27,272.76/40,905.05 = 9,506.13/x
  3. Step 3: Cross multiply
    27,272.76x = 40,905.05 × 9,506.13
  4. Step 4: Simplify right side
    27,272.76x = 388,848,675.43
  5. Step 5: Solve for x
    x = 388,848,675.43/27,272.76
  6. Step 6: Final answer
    x = 14,257.77

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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.