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Finding the Fourth Proportional to 5,997.16, 8,994.73 and 1,613.64

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Solution

The fourth proportional to 5,997.16, 8,994.73 and 1,613.64 is: 2,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.16 : 8,994.73 = 1,613.64 : x
  2. Step 2: Convert to fraction form
    5,997.16/8,994.73 = 1,613.64/x
  3. Step 3: Cross multiply
    5,997.16x = 8,994.73 × 1,613.64
  4. Step 4: Simplify right side
    5,997.16x = 14,514,256.12
  5. Step 5: Solve for x
    x = 14,514,256.12/5,997.16
  6. Step 6: Final answer
    x = 2,420.19

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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.