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Finding the Fourth Proportional to 6,085.71, 8,393.97 and 5,882.49

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Solution

The fourth proportional to 6,085.71, 8,393.97 and 5,882.49 is: 8,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.71 : 8,393.97 = 5,882.49 : x
  2. Step 2: Convert to fraction form
    6,085.71/8,393.97 = 5,882.49/x
  3. Step 3: Cross multiply
    6,085.71x = 8,393.97 × 5,882.49
  4. Step 4: Simplify right side
    6,085.71x = 49,377,444.59
  5. Step 5: Solve for x
    x = 49,377,444.59/6,085.71
  6. Step 6: Final answer
    x = 8,113.67

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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.