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Finding the Fourth Proportional to 8,305.71, 11,462.93 and 4,768.84

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Solution

The fourth proportional to 8,305.71, 11,462.93 and 4,768.84 is: 6,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.71 : 11,462.93 = 4,768.84 : x
  2. Step 2: Convert to fraction form
    8,305.71/11,462.93 = 4,768.84/x
  3. Step 3: Cross multiply
    8,305.71x = 11,462.93 × 4,768.84
  4. Step 4: Simplify right side
    8,305.71x = 54,664,879.10
  5. Step 5: Solve for x
    x = 54,664,879.10/8,305.71
  6. Step 6: Final answer
    x = 6,581.60

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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.