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Finding the Fourth Proportional to 4,600.45, 6,899.07 and 4,305.20

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Solution

The fourth proportional to 4,600.45, 6,899.07 and 4,305.20 is: 6,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.45 : 6,899.07 = 4,305.20 : x
  2. Step 2: Convert to fraction form
    4,600.45/6,899.07 = 4,305.20/x
  3. Step 3: Cross multiply
    4,600.45x = 6,899.07 × 4,305.20
  4. Step 4: Simplify right side
    4,600.45x = 29,701,876.16
  5. Step 5: Solve for x
    x = 29,701,876.16/4,600.45
  6. Step 6: Final answer
    x = 6,456.31

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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.