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Finding the Fourth Proportional to 5,998.95, 8,998.52 and 1,616.42

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Solution

The fourth proportional to 5,998.95, 8,998.52 and 1,616.42 is: 2,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.95 : 8,998.52 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    5,998.95/8,998.52 = 1,616.42/x
  3. Step 3: Cross multiply
    5,998.95x = 8,998.52 × 1,616.42
  4. Step 4: Simplify right side
    5,998.95x = 14,545,402.11
  5. Step 5: Solve for x
    x = 14,545,402.11/5,998.95
  6. Step 6: Final answer
    x = 2,424.66

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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.