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Finding the Fourth Proportional to 6,394.36, 9,590.50 and 4,539.86

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Solution

The fourth proportional to 6,394.36, 9,590.50 and 4,539.86 is: 6,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.36 : 9,590.50 = 4,539.86 : x
  2. Step 2: Convert to fraction form
    6,394.36/9,590.50 = 4,539.86/x
  3. Step 3: Cross multiply
    6,394.36x = 9,590.50 × 4,539.86
  4. Step 4: Simplify right side
    6,394.36x = 43,539,574.96
  5. Step 5: Solve for x
    x = 43,539,574.96/6,394.36
  6. Step 6: Final answer
    x = 6,809.06

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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.