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Finding the Fourth Proportional to 12,714, 17,546.40 and 7,126.08

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Solution

The fourth proportional to 12,714, 17,546.40 and 7,126.08 is: 9,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714 : 17,546.40 = 7,126.08 : x
  2. Step 2: Convert to fraction form
    12,714/17,546.40 = 7,126.08/x
  3. Step 3: Cross multiply
    12,714x = 17,546.40 × 7,126.08
  4. Step 4: Simplify right side
    12,714x = 125,037,050.11
  5. Step 5: Solve for x
    x = 125,037,050.11/12,714
  6. Step 6: Final answer
    x = 9,834.60

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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.