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Finding the Fourth Proportional to 6,409.82, 9,592.86 and 5,370.99

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Solution

The fourth proportional to 6,409.82, 9,592.86 and 5,370.99 is: 8,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.82 : 9,592.86 = 5,370.99 : x
  2. Step 2: Convert to fraction form
    6,409.82/9,592.86 = 5,370.99/x
  3. Step 3: Cross multiply
    6,409.82x = 9,592.86 × 5,370.99
  4. Step 4: Simplify right side
    6,409.82x = 51,523,147.94
  5. Step 5: Solve for x
    x = 51,523,147.94/6,409.82
  6. Step 6: Final answer
    x = 8,038.16

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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.