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Finding the Fourth Proportional to 7,309.58, 10,964.97 and 2,924.64

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Solution

The fourth proportional to 7,309.58, 10,964.97 and 2,924.64 is: 4,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.58 : 10,964.97 = 2,924.64 : x
  2. Step 2: Convert to fraction form
    7,309.58/10,964.97 = 2,924.64/x
  3. Step 3: Cross multiply
    7,309.58x = 10,964.97 × 2,924.64
  4. Step 4: Simplify right side
    7,309.58x = 32,068,589.86
  5. Step 5: Solve for x
    x = 32,068,589.86/7,309.58
  6. Step 6: Final answer
    x = 4,387.20

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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.