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Finding the Fourth Proportional to 17,975, 26,967.82 and 9,216.06

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Solution

The fourth proportional to 17,975, 26,967.82 and 9,216.06 is: 13,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975 : 26,967.82 = 9,216.06 : x
  2. Step 2: Convert to fraction form
    17,975/26,967.82 = 9,216.06/x
  3. Step 3: Cross multiply
    17,975x = 26,967.82 × 9,216.06
  4. Step 4: Simplify right side
    17,975x = 248,537,047.19
  5. Step 5: Solve for x
    x = 248,537,047.19/17,975
  6. Step 6: Final answer
    x = 13,826.82

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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.