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Finding the Fourth Proportional to 13,205.97, 18,224.08 and 7,156.09

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Solution

The fourth proportional to 13,205.97, 18,224.08 and 7,156.09 is: 9,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.97 : 18,224.08 = 7,156.09 : x
  2. Step 2: Convert to fraction form
    13,205.97/18,224.08 = 7,156.09/x
  3. Step 3: Cross multiply
    13,205.97x = 18,224.08 × 7,156.09
  4. Step 4: Simplify right side
    13,205.97x = 130,413,156.65
  5. Step 5: Solve for x
    x = 130,413,156.65/13,205.97
  6. Step 6: Final answer
    x = 9,875.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.