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Finding the Fourth Proportional to 5,794.16, 8,691.22 and 1,411.64

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Solution

The fourth proportional to 5,794.16, 8,691.22 and 1,411.64 is: 2,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.16 : 8,691.22 = 1,411.64 : x
  2. Step 2: Convert to fraction form
    5,794.16/8,691.22 = 1,411.64/x
  3. Step 3: Cross multiply
    5,794.16x = 8,691.22 × 1,411.64
  4. Step 4: Simplify right side
    5,794.16x = 12,268,873.80
  5. Step 5: Solve for x
    x = 12,268,873.80/5,794.16
  6. Step 6: Final answer
    x = 2,117.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.