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Finding the Fourth Proportional to 7,234.96, 9,985.81 and 4,403.25

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Solution

The fourth proportional to 7,234.96, 9,985.81 and 4,403.25 is: 6,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.96 : 9,985.81 = 4,403.25 : x
  2. Step 2: Convert to fraction form
    7,234.96/9,985.81 = 4,403.25/x
  3. Step 3: Cross multiply
    7,234.96x = 9,985.81 × 4,403.25
  4. Step 4: Simplify right side
    7,234.96x = 43,970,002.64
  5. Step 5: Solve for x
    x = 43,970,002.64/7,234.96
  6. Step 6: Final answer
    x = 6,077.43

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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.