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Finding the Fourth Proportional to 5,646.63, 8,471.12 and 1,697.73

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Solution

The fourth proportional to 5,646.63, 8,471.12 and 1,697.73 is: 2,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.63 : 8,471.12 = 1,697.73 : x
  2. Step 2: Convert to fraction form
    5,646.63/8,471.12 = 1,697.73/x
  3. Step 3: Cross multiply
    5,646.63x = 8,471.12 × 1,697.73
  4. Step 4: Simplify right side
    5,646.63x = 14,381,666.07
  5. Step 5: Solve for x
    x = 14,381,666.07/5,646.63
  6. Step 6: Final answer
    x = 2,546.95

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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.