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Finding the Fourth Proportional to 27,415.80, 41,123.70 and 7,697.70

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Solution

The fourth proportional to 27,415.80, 41,123.70 and 7,697.70 is: 11,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.80 : 41,123.70 = 7,697.70 : x
  2. Step 2: Convert to fraction form
    27,415.80/41,123.70 = 7,697.70/x
  3. Step 3: Cross multiply
    27,415.80x = 41,123.70 × 7,697.70
  4. Step 4: Simplify right side
    27,415.80x = 316,557,905.49
  5. Step 5: Solve for x
    x = 316,557,905.49/27,415.80
  6. Step 6: Final answer
    x = 11,546.55

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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.