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Finding the Fourth Proportional to 3,642.50, 5,463.75 and 906.50

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Solution

The fourth proportional to 3,642.50, 5,463.75 and 906.50 is: 1,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.50 : 5,463.75 = 906.50 : x
  2. Step 2: Convert to fraction form
    3,642.50/5,463.75 = 906.50/x
  3. Step 3: Cross multiply
    3,642.50x = 5,463.75 × 906.50
  4. Step 4: Simplify right side
    3,642.50x = 4,952,889.38
  5. Step 5: Solve for x
    x = 4,952,889.38/3,642.50
  6. Step 6: Final answer
    x = 1,359.75

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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.