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Finding the Fourth Proportional to 6,193.48, 8,546.86 and 3,540.74

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Solution

The fourth proportional to 6,193.48, 8,546.86 and 3,540.74 is: 4,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.48 : 8,546.86 = 3,540.74 : x
  2. Step 2: Convert to fraction form
    6,193.48/8,546.86 = 3,540.74/x
  3. Step 3: Cross multiply
    6,193.48x = 8,546.86 × 3,540.74
  4. Step 4: Simplify right side
    6,193.48x = 30,262,209.08
  5. Step 5: Solve for x
    x = 30,262,209.08/6,193.48
  6. Step 6: Final answer
    x = 4,886.14

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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.