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Finding the Fourth Proportional to 12,561.72, 17,335.26 and 6,972.72

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Solution

The fourth proportional to 12,561.72, 17,335.26 and 6,972.72 is: 9,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.72 : 17,335.26 = 6,972.72 : x
  2. Step 2: Convert to fraction form
    12,561.72/17,335.26 = 6,972.72/x
  3. Step 3: Cross multiply
    12,561.72x = 17,335.26 × 6,972.72
  4. Step 4: Simplify right side
    12,561.72x = 120,873,914.11
  5. Step 5: Solve for x
    x = 120,873,914.11/12,561.72
  6. Step 6: Final answer
    x = 9,622.40

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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.