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Finding the Fourth Proportional to 8,682.81, 11,982.30 and 4,703.93

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Solution

The fourth proportional to 8,682.81, 11,982.30 and 4,703.93 is: 6,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.81 : 11,982.30 = 4,703.93 : x
  2. Step 2: Convert to fraction form
    8,682.81/11,982.30 = 4,703.93/x
  3. Step 3: Cross multiply
    8,682.81x = 11,982.30 × 4,703.93
  4. Step 4: Simplify right side
    8,682.81x = 56,363,840.53
  5. Step 5: Solve for x
    x = 56,363,840.53/8,682.81
  6. Step 6: Final answer
    x = 6,491.43

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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.