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Finding the Fourth Proportional to 12,714.89, 17,546.95 and 7,050.16

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Solution

The fourth proportional to 12,714.89, 17,546.95 and 7,050.16 is: 9,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.89 : 17,546.95 = 7,050.16 : x
  2. Step 2: Convert to fraction form
    12,714.89/17,546.95 = 7,050.16/x
  3. Step 3: Cross multiply
    12,714.89x = 17,546.95 × 7,050.16
  4. Step 4: Simplify right side
    12,714.89x = 123,708,697.40
  5. Step 5: Solve for x
    x = 123,708,697.40/12,714.89
  6. Step 6: Final answer
    x = 9,729.43

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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.