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Finding the Fourth Proportional to 7,822.76, 10,796.79 and 4,678.94

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Solution

The fourth proportional to 7,822.76, 10,796.79 and 4,678.94 is: 6,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.76 : 10,796.79 = 4,678.94 : x
  2. Step 2: Convert to fraction form
    7,822.76/10,796.79 = 4,678.94/x
  3. Step 3: Cross multiply
    7,822.76x = 10,796.79 × 4,678.94
  4. Step 4: Simplify right side
    7,822.76x = 50,517,532.60
  5. Step 5: Solve for x
    x = 50,517,532.60/7,822.76
  6. Step 6: Final answer
    x = 6,457.76

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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.