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Finding the Fourth Proportional to 7,836.76, 10,807.78 and 5,474.84

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Solution

The fourth proportional to 7,836.76, 10,807.78 and 5,474.84 is: 7,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.76 : 10,807.78 = 5,474.84 : x
  2. Step 2: Convert to fraction form
    7,836.76/10,807.78 = 5,474.84/x
  3. Step 3: Cross multiply
    7,836.76x = 10,807.78 × 5,474.84
  4. Step 4: Simplify right side
    7,836.76x = 59,170,866.26
  5. Step 5: Solve for x
    x = 59,170,866.26/7,836.76
  6. Step 6: Final answer
    x = 7,550.42

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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.