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Finding the Fourth Proportional to 5,665, 8,495.44 and 1,966.24

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Solution

The fourth proportional to 5,665, 8,495.44 and 1,966.24 is: 2,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665 : 8,495.44 = 1,966.24 : x
  2. Step 2: Convert to fraction form
    5,665/8,495.44 = 1,966.24/x
  3. Step 3: Cross multiply
    5,665x = 8,495.44 × 1,966.24
  4. Step 4: Simplify right side
    5,665x = 16,704,073.95
  5. Step 5: Solve for x
    x = 16,704,073.95/5,665
  6. Step 6: Final answer
    x = 2,948.65

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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.