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Finding the Fourth Proportional to 8,200.84, 11,314.74 and 4,843.93

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Solution

The fourth proportional to 8,200.84, 11,314.74 and 4,843.93 is: 6,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.84 : 11,314.74 = 4,843.93 : x
  2. Step 2: Convert to fraction form
    8,200.84/11,314.74 = 4,843.93/x
  3. Step 3: Cross multiply
    8,200.84x = 11,314.74 × 4,843.93
  4. Step 4: Simplify right side
    8,200.84x = 54,807,808.53
  5. Step 5: Solve for x
    x = 54,807,808.53/8,200.84
  6. Step 6: Final answer
    x = 6,683.19

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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.