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Finding the Fourth Proportional to 12,343.37, 17,029 and 7,305.75

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Solution

The fourth proportional to 12,343.37, 17,029 and 7,305.75 is: 10,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.37 : 17,029 = 7,305.75 : x
  2. Step 2: Convert to fraction form
    12,343.37/17,029 = 7,305.75/x
  3. Step 3: Cross multiply
    12,343.37x = 17,029 × 7,305.75
  4. Step 4: Simplify right side
    12,343.37x = 124,409,616.75
  5. Step 5: Solve for x
    x = 124,409,616.75/12,343.37
  6. Step 6: Final answer
    x = 10,079.06

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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.