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Finding the Fourth Proportional to 6,086.84, 8,381.01 and 4,823.84

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Solution

The fourth proportional to 6,086.84, 8,381.01 and 4,823.84 is: 6,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.84 : 8,381.01 = 4,823.84 : x
  2. Step 2: Convert to fraction form
    6,086.84/8,381.01 = 4,823.84/x
  3. Step 3: Cross multiply
    6,086.84x = 8,381.01 × 4,823.84
  4. Step 4: Simplify right side
    6,086.84x = 40,428,609.37
  5. Step 5: Solve for x
    x = 40,428,609.37/6,086.84
  6. Step 6: Final answer
    x = 6,641.98

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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.