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Finding the Fourth Proportional to 4,664.02, 6,997.92 and 4,590.31

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Solution

The fourth proportional to 4,664.02, 6,997.92 and 4,590.31 is: 6,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.02 : 6,997.92 = 4,590.31 : x
  2. Step 2: Convert to fraction form
    4,664.02/6,997.92 = 4,590.31/x
  3. Step 3: Cross multiply
    4,664.02x = 6,997.92 × 4,590.31
  4. Step 4: Simplify right side
    4,664.02x = 32,122,622.16
  5. Step 5: Solve for x
    x = 32,122,622.16/4,664.02
  6. Step 6: Final answer
    x = 6,887.33

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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.