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Finding the Fourth Proportional to 12,714.32, 17,544.12 and 7,125.32

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Solution

The fourth proportional to 12,714.32, 17,544.12 and 7,125.32 is: 9,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.32 : 17,544.12 = 7,125.32 : x
  2. Step 2: Convert to fraction form
    12,714.32/17,544.12 = 7,125.32/x
  3. Step 3: Cross multiply
    12,714.32x = 17,544.12 × 7,125.32
  4. Step 4: Simplify right side
    12,714.32x = 125,007,469.12
  5. Step 5: Solve for x
    x = 125,007,469.12/12,714.32
  6. Step 6: Final answer
    x = 9,832.02

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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.