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Finding the Fourth Proportional to 6,314.36, 9,471.51 and 1,697.36

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Solution

The fourth proportional to 6,314.36, 9,471.51 and 1,697.36 is: 2,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.36 : 9,471.51 = 1,697.36 : x
  2. Step 2: Convert to fraction form
    6,314.36/9,471.51 = 1,697.36/x
  3. Step 3: Cross multiply
    6,314.36x = 9,471.51 × 1,697.36
  4. Step 4: Simplify right side
    6,314.36x = 16,076,514.86
  5. Step 5: Solve for x
    x = 16,076,514.86/6,314.36
  6. Step 6: Final answer
    x = 2,546.03

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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.