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Finding the Fourth Proportional to 12,609.32, 17,400.69 and 6,944.06

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Solution

The fourth proportional to 12,609.32, 17,400.69 and 6,944.06 is: 9,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.32 : 17,400.69 = 6,944.06 : x
  2. Step 2: Convert to fraction form
    12,609.32/17,400.69 = 6,944.06/x
  3. Step 3: Cross multiply
    12,609.32x = 17,400.69 × 6,944.06
  4. Step 4: Simplify right side
    12,609.32x = 120,831,348.40
  5. Step 5: Solve for x
    x = 120,831,348.40/12,609.32
  6. Step 6: Final answer
    x = 9,582.71

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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.