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Finding the Fourth Proportional to 13,475.16, 20,175.48 and 6,887.16

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Solution

The fourth proportional to 13,475.16, 20,175.48 and 6,887.16 is: 10,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.16 : 20,175.48 = 6,887.16 : x
  2. Step 2: Convert to fraction form
    13,475.16/20,175.48 = 6,887.16/x
  3. Step 3: Cross multiply
    13,475.16x = 20,175.48 × 6,887.16
  4. Step 4: Simplify right side
    13,475.16x = 138,951,758.84
  5. Step 5: Solve for x
    x = 138,951,758.84/13,475.16
  6. Step 6: Final answer
    x = 10,311.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.