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Finding the Fourth Proportional to 6,236.65, 9,348.14 and 3,076.23

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Solution

The fourth proportional to 6,236.65, 9,348.14 and 3,076.23 is: 4,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.65 : 9,348.14 = 3,076.23 : x
  2. Step 2: Convert to fraction form
    6,236.65/9,348.14 = 3,076.23/x
  3. Step 3: Cross multiply
    6,236.65x = 9,348.14 × 3,076.23
  4. Step 4: Simplify right side
    6,236.65x = 28,757,071.46
  5. Step 5: Solve for x
    x = 28,757,071.46/6,236.65
  6. Step 6: Final answer
    x = 4,610.98

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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.