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Finding the Fourth Proportional to 12,534.40, 17,297.82 and 6,945.40

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Solution

The fourth proportional to 12,534.40, 17,297.82 and 6,945.40 is: 9,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.40 : 17,297.82 = 6,945.40 : x
  2. Step 2: Convert to fraction form
    12,534.40/17,297.82 = 6,945.40/x
  3. Step 3: Cross multiply
    12,534.40x = 17,297.82 × 6,945.40
  4. Step 4: Simplify right side
    12,534.40x = 120,140,279.03
  5. Step 5: Solve for x
    x = 120,140,279.03/12,534.40
  6. Step 6: Final answer
    x = 9,584.84

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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.