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Finding the Fourth Proportional to 6,335.47, 8,744.34 and 3,684.41

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Solution

The fourth proportional to 6,335.47, 8,744.34 and 3,684.41 is: 5,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.47 : 8,744.34 = 3,684.41 : x
  2. Step 2: Convert to fraction form
    6,335.47/8,744.34 = 3,684.41/x
  3. Step 3: Cross multiply
    6,335.47x = 8,744.34 × 3,684.41
  4. Step 4: Simplify right side
    6,335.47x = 32,217,733.74
  5. Step 5: Solve for x
    x = 32,217,733.74/6,335.47
  6. Step 6: Final answer
    x = 5,085.29

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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.