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Finding the Fourth Proportional to 7,784, 10,742.32 and 4,247.44

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Solution

The fourth proportional to 7,784, 10,742.32 and 4,247.44 is: 5,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784 : 10,742.32 = 4,247.44 : x
  2. Step 2: Convert to fraction form
    7,784/10,742.32 = 4,247.44/x
  3. Step 3: Cross multiply
    7,784x = 10,742.32 × 4,247.44
  4. Step 4: Simplify right side
    7,784x = 45,627,359.66
  5. Step 5: Solve for x
    x = 45,627,359.66/7,784
  6. Step 6: Final answer
    x = 5,861.69

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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.