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Finding the Fourth Proportional to 7,691.64, 10,614.50 and 4,334.50

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Solution

The fourth proportional to 7,691.64, 10,614.50 and 4,334.50 is: 5,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.64 : 10,614.50 = 4,334.50 : x
  2. Step 2: Convert to fraction form
    7,691.64/10,614.50 = 4,334.50/x
  3. Step 3: Cross multiply
    7,691.64x = 10,614.50 × 4,334.50
  4. Step 4: Simplify right side
    7,691.64x = 46,008,550.25
  5. Step 5: Solve for x
    x = 46,008,550.25/7,691.64
  6. Step 6: Final answer
    x = 5,981.63

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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.