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Finding the Fourth Proportional to 7,913, 10,919.94 and 4,769.84

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Solution

The fourth proportional to 7,913, 10,919.94 and 4,769.84 is: 6,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913 : 10,919.94 = 4,769.84 : x
  2. Step 2: Convert to fraction form
    7,913/10,919.94 = 4,769.84/x
  3. Step 3: Cross multiply
    7,913x = 10,919.94 × 4,769.84
  4. Step 4: Simplify right side
    7,913x = 52,086,366.61
  5. Step 5: Solve for x
    x = 52,086,366.61/7,913
  6. Step 6: Final answer
    x = 6,582.38

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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.