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Finding the Fourth Proportional to 9,310.68, 12,844.17 and 5,775.84

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Solution

The fourth proportional to 9,310.68, 12,844.17 and 5,775.84 is: 7,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.68 : 12,844.17 = 5,775.84 : x
  2. Step 2: Convert to fraction form
    9,310.68/12,844.17 = 5,775.84/x
  3. Step 3: Cross multiply
    9,310.68x = 12,844.17 × 5,775.84
  4. Step 4: Simplify right side
    9,310.68x = 74,185,870.85
  5. Step 5: Solve for x
    x = 74,185,870.85/9,310.68
  6. Step 6: Final answer
    x = 7,967.83

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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.