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Finding the Fourth Proportional to 5,644.64, 8,468.24 and 1,946.93

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Solution

The fourth proportional to 5,644.64, 8,468.24 and 1,946.93 is: 2,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.64 : 8,468.24 = 1,946.93 : x
  2. Step 2: Convert to fraction form
    5,644.64/8,468.24 = 1,946.93/x
  3. Step 3: Cross multiply
    5,644.64x = 8,468.24 × 1,946.93
  4. Step 4: Simplify right side
    5,644.64x = 16,487,018.43
  5. Step 5: Solve for x
    x = 16,487,018.43/5,644.64
  6. Step 6: Final answer
    x = 2,920.83

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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.