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Finding the Fourth Proportional to 6,095.60, 8,406.15 and 4,204.16

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Solution

The fourth proportional to 6,095.60, 8,406.15 and 4,204.16 is: 5,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.60 : 8,406.15 = 4,204.16 : x
  2. Step 2: Convert to fraction form
    6,095.60/8,406.15 = 4,204.16/x
  3. Step 3: Cross multiply
    6,095.60x = 8,406.15 × 4,204.16
  4. Step 4: Simplify right side
    6,095.60x = 35,340,799.58
  5. Step 5: Solve for x
    x = 35,340,799.58/6,095.60
  6. Step 6: Final answer
    x = 5,797.76

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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.