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Finding the Fourth Proportional to 7,186.56, 10,780.08 and 3,901.44

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Solution

The fourth proportional to 7,186.56, 10,780.08 and 3,901.44 is: 5,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.56 : 10,780.08 = 3,901.44 : x
  2. Step 2: Convert to fraction form
    7,186.56/10,780.08 = 3,901.44/x
  3. Step 3: Cross multiply
    7,186.56x = 10,780.08 × 3,901.44
  4. Step 4: Simplify right side
    7,186.56x = 42,057,835.32
  5. Step 5: Solve for x
    x = 42,057,835.32/7,186.56
  6. Step 6: Final answer
    x = 5,852.29

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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.