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Finding the Fourth Proportional to 5,644.64, 8,468.04 and 1,946.72

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Solution

The fourth proportional to 5,644.64, 8,468.04 and 1,946.72 is: 2,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.64 : 8,468.04 = 1,946.72 : x
  2. Step 2: Convert to fraction form
    5,644.64/8,468.04 = 1,946.72/x
  3. Step 3: Cross multiply
    5,644.64x = 8,468.04 × 1,946.72
  4. Step 4: Simplify right side
    5,644.64x = 16,484,902.83
  5. Step 5: Solve for x
    x = 16,484,902.83/5,644.64
  6. Step 6: Final answer
    x = 2,920.45

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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.