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Finding the Fourth Proportional to 7,065.68, 10,591.44 and 3,544.96

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Solution

The fourth proportional to 7,065.68, 10,591.44 and 3,544.96 is: 5,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.68 : 10,591.44 = 3,544.96 : x
  2. Step 2: Convert to fraction form
    7,065.68/10,591.44 = 3,544.96/x
  3. Step 3: Cross multiply
    7,065.68x = 10,591.44 × 3,544.96
  4. Step 4: Simplify right side
    7,065.68x = 37,546,231.14
  5. Step 5: Solve for x
    x = 37,546,231.14/7,065.68
  6. Step 6: Final answer
    x = 5,313.89

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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.