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Finding the Fourth Proportional to 7,805.76, 10,771.81 and 4,268.89

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Solution

The fourth proportional to 7,805.76, 10,771.81 and 4,268.89 is: 5,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.76 : 10,771.81 = 4,268.89 : x
  2. Step 2: Convert to fraction form
    7,805.76/10,771.81 = 4,268.89/x
  3. Step 3: Cross multiply
    7,805.76x = 10,771.81 × 4,268.89
  4. Step 4: Simplify right side
    7,805.76x = 45,983,671.99
  5. Step 5: Solve for x
    x = 45,983,671.99/7,805.76
  6. Step 6: Final answer
    x = 5,890.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.