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Finding the Fourth Proportional to 4,159.92, 6,238.16 and 1,693.07

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Solution

The fourth proportional to 4,159.92, 6,238.16 and 1,693.07 is: 2,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.92 : 6,238.16 = 1,693.07 : x
  2. Step 2: Convert to fraction form
    4,159.92/6,238.16 = 1,693.07/x
  3. Step 3: Cross multiply
    4,159.92x = 6,238.16 × 1,693.07
  4. Step 4: Simplify right side
    4,159.92x = 10,561,601.90
  5. Step 5: Solve for x
    x = 10,561,601.90/4,159.92
  6. Step 6: Final answer
    x = 2,538.90

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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.