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Finding the Fourth Proportional to 5,143.95, 7,713.95 and 1,633.23

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Solution

The fourth proportional to 5,143.95, 7,713.95 and 1,633.23 is: 2,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.95 : 7,713.95 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    5,143.95/7,713.95 = 1,633.23/x
  3. Step 3: Cross multiply
    5,143.95x = 7,713.95 × 1,633.23
  4. Step 4: Simplify right side
    5,143.95x = 12,598,646.39
  5. Step 5: Solve for x
    x = 12,598,646.39/5,143.95
  6. Step 6: Final answer
    x = 2,449.22

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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.