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Finding the Fourth Proportional to 6,234.30, 8,603.82 and 3,582.63

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Solution

The fourth proportional to 6,234.30, 8,603.82 and 3,582.63 is: 4,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.30 : 8,603.82 = 3,582.63 : x
  2. Step 2: Convert to fraction form
    6,234.30/8,603.82 = 3,582.63/x
  3. Step 3: Cross multiply
    6,234.30x = 8,603.82 × 3,582.63
  4. Step 4: Simplify right side
    6,234.30x = 30,824,303.65
  5. Step 5: Solve for x
    x = 30,824,303.65/6,234.30
  6. Step 6: Final answer
    x = 4,944.31

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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.