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Finding the Fourth Proportional to 12,688.75, 19,033.17 and 3,454.75

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Solution

The fourth proportional to 12,688.75, 19,033.17 and 3,454.75 is: 5,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.75 : 19,033.17 = 3,454.75 : x
  2. Step 2: Convert to fraction form
    12,688.75/19,033.17 = 3,454.75/x
  3. Step 3: Cross multiply
    12,688.75x = 19,033.17 × 3,454.75
  4. Step 4: Simplify right side
    12,688.75x = 65,754,844.06
  5. Step 5: Solve for x
    x = 65,754,844.06/12,688.75
  6. Step 6: Final answer
    x = 5,182.14

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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.