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Finding the Fourth Proportional to 6,328.86, 9,487.89 and 4,474.14

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Solution

The fourth proportional to 6,328.86, 9,487.89 and 4,474.14 is: 6,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.86 : 9,487.89 = 4,474.14 : x
  2. Step 2: Convert to fraction form
    6,328.86/9,487.89 = 4,474.14/x
  3. Step 3: Cross multiply
    6,328.86x = 9,487.89 × 4,474.14
  4. Step 4: Simplify right side
    6,328.86x = 42,450,148.16
  5. Step 5: Solve for x
    x = 42,450,148.16/6,328.86
  6. Step 6: Final answer
    x = 6,707.39

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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.