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Finding the Fourth Proportional to 7,773.84, 10,727.10 and 4,629.42

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Solution

The fourth proportional to 7,773.84, 10,727.10 and 4,629.42 is: 6,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.84 : 10,727.10 = 4,629.42 : x
  2. Step 2: Convert to fraction form
    7,773.84/10,727.10 = 4,629.42/x
  3. Step 3: Cross multiply
    7,773.84x = 10,727.10 × 4,629.42
  4. Step 4: Simplify right side
    7,773.84x = 49,660,251.28
  5. Step 5: Solve for x
    x = 49,660,251.28/7,773.84
  6. Step 6: Final answer
    x = 6,388.12

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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.