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Finding the Fourth Proportional to 6,314.54, 9,471.80 and 1,697.54

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Solution

The fourth proportional to 6,314.54, 9,471.80 and 1,697.54 is: 2,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.54 : 9,471.80 = 1,697.54 : x
  2. Step 2: Convert to fraction form
    6,314.54/9,471.80 = 1,697.54/x
  3. Step 3: Cross multiply
    6,314.54x = 9,471.80 × 1,697.54
  4. Step 4: Simplify right side
    6,314.54x = 16,078,703.53
  5. Step 5: Solve for x
    x = 16,078,703.53/6,314.54
  6. Step 6: Final answer
    x = 2,546.30

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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.