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Finding the Fourth Proportional to 13,282.92, 19,922.07 and 4,963.01

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Solution

The fourth proportional to 13,282.92, 19,922.07 and 4,963.01 is: 7,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.92 : 19,922.07 = 4,963.01 : x
  2. Step 2: Convert to fraction form
    13,282.92/19,922.07 = 4,963.01/x
  3. Step 3: Cross multiply
    13,282.92x = 19,922.07 × 4,963.01
  4. Step 4: Simplify right side
    13,282.92x = 98,873,351.63
  5. Step 5: Solve for x
    x = 98,873,351.63/13,282.92
  6. Step 6: Final answer
    x = 7,443.65

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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.