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Finding the Fourth Proportional to 7,768.66, 10,720.65 and 4,231.84

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Solution

The fourth proportional to 7,768.66, 10,720.65 and 4,231.84 is: 5,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.66 : 10,720.65 = 4,231.84 : x
  2. Step 2: Convert to fraction form
    7,768.66/10,720.65 = 4,231.84/x
  3. Step 3: Cross multiply
    7,768.66x = 10,720.65 × 4,231.84
  4. Step 4: Simplify right side
    7,768.66x = 45,368,075.50
  5. Step 5: Solve for x
    x = 45,368,075.50/7,768.66
  6. Step 6: Final answer
    x = 5,839.88

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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.