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Finding the Fourth Proportional to 7,313.84, 10,971.90 and 2,382.33

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Solution

The fourth proportional to 7,313.84, 10,971.90 and 2,382.33 is: 3,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.84 : 10,971.90 = 2,382.33 : x
  2. Step 2: Convert to fraction form
    7,313.84/10,971.90 = 2,382.33/x
  3. Step 3: Cross multiply
    7,313.84x = 10,971.90 × 2,382.33
  4. Step 4: Simplify right side
    7,313.84x = 26,138,674.62
  5. Step 5: Solve for x
    x = 26,138,674.62/7,313.84
  6. Step 6: Final answer
    x = 3,573.87

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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.