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Finding the Fourth Proportional to 6,944.58, 10,412.01 and 2,560.86

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Solution

The fourth proportional to 6,944.58, 10,412.01 and 2,560.86 is: 3,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.58 : 10,412.01 = 2,560.86 : x
  2. Step 2: Convert to fraction form
    6,944.58/10,412.01 = 2,560.86/x
  3. Step 3: Cross multiply
    6,944.58x = 10,412.01 × 2,560.86
  4. Step 4: Simplify right side
    6,944.58x = 26,663,699.93
  5. Step 5: Solve for x
    x = 26,663,699.93/6,944.58
  6. Step 6: Final answer
    x = 3,839.50

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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.