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Finding the Fourth Proportional to 6,953.12, 10,375.60 and 6,786.32

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Solution

The fourth proportional to 6,953.12, 10,375.60 and 6,786.32 is: 10,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.12 : 10,375.60 = 6,786.32 : x
  2. Step 2: Convert to fraction form
    6,953.12/10,375.60 = 6,786.32/x
  3. Step 3: Cross multiply
    6,953.12x = 10,375.60 × 6,786.32
  4. Step 4: Simplify right side
    6,953.12x = 70,412,141.79
  5. Step 5: Solve for x
    x = 70,412,141.79/6,953.12
  6. Step 6: Final answer
    x = 10,126.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.