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Finding the Fourth Proportional to 4,601.82, 6,902.82 and 1,315.02

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Solution

The fourth proportional to 4,601.82, 6,902.82 and 1,315.02 is: 1,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.82 : 6,902.82 = 1,315.02 : x
  2. Step 2: Convert to fraction form
    4,601.82/6,902.82 = 1,315.02/x
  3. Step 3: Cross multiply
    4,601.82x = 6,902.82 × 1,315.02
  4. Step 4: Simplify right side
    4,601.82x = 9,077,346.36
  5. Step 5: Solve for x
    x = 9,077,346.36/4,601.82
  6. Step 6: Final answer
    x = 1,972.56

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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.