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Finding the Fourth Proportional to 4,612.67, 6,365.31 and 2,596.00

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Solution

The fourth proportional to 4,612.67, 6,365.31 and 2,596.00 is: 3,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.67 : 6,365.31 = 2,596.00 : x
  2. Step 2: Convert to fraction form
    4,612.67/6,365.31 = 2,596.00/x
  3. Step 3: Cross multiply
    4,612.67x = 6,365.31 × 2,596.00
  4. Step 4: Simplify right side
    4,612.67x = 16,524,338.35
  5. Step 5: Solve for x
    x = 16,524,338.35/4,612.67
  6. Step 6: Final answer
    x = 3,582.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.