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Finding the Fourth Proportional to 10,805.84, 16,208.76 and 2,597.84

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Solution

The fourth proportional to 10,805.84, 16,208.76 and 2,597.84 is: 3,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.84 : 16,208.76 = 2,597.84 : x
  2. Step 2: Convert to fraction form
    10,805.84/16,208.76 = 2,597.84/x
  3. Step 3: Cross multiply
    10,805.84x = 16,208.76 × 2,597.84
  4. Step 4: Simplify right side
    10,805.84x = 42,107,765.08
  5. Step 5: Solve for x
    x = 42,107,765.08/10,805.84
  6. Step 6: Final answer
    x = 3,896.76

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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.