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Finding the Fourth Proportional to 8,323.07, 11,484.79 and 4,738.49

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Solution

The fourth proportional to 8,323.07, 11,484.79 and 4,738.49 is: 6,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.07 : 11,484.79 = 4,738.49 : x
  2. Step 2: Convert to fraction form
    8,323.07/11,484.79 = 4,738.49/x
  3. Step 3: Cross multiply
    8,323.07x = 11,484.79 × 4,738.49
  4. Step 4: Simplify right side
    8,323.07x = 54,420,562.57
  5. Step 5: Solve for x
    x = 54,420,562.57/8,323.07
  6. Step 6: Final answer
    x = 6,538.52

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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.