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Finding the Fourth Proportional to 5,154.63, 7,733.10 and 1,644.83

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Solution

The fourth proportional to 5,154.63, 7,733.10 and 1,644.83 is: 2,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.63 : 7,733.10 = 1,644.83 : x
  2. Step 2: Convert to fraction form
    5,154.63/7,733.10 = 1,644.83/x
  3. Step 3: Cross multiply
    5,154.63x = 7,733.10 × 1,644.83
  4. Step 4: Simplify right side
    5,154.63x = 12,719,663.71
  5. Step 5: Solve for x
    x = 12,719,663.71/5,154.63
  6. Step 6: Final answer
    x = 2,467.62

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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.