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Finding the Fourth Proportional to 6,317.49, 9,435.21 and 5,940.24

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Solution

The fourth proportional to 6,317.49, 9,435.21 and 5,940.24 is: 8,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.49 : 9,435.21 = 5,940.24 : x
  2. Step 2: Convert to fraction form
    6,317.49/9,435.21 = 5,940.24/x
  3. Step 3: Cross multiply
    6,317.49x = 9,435.21 × 5,940.24
  4. Step 4: Simplify right side
    6,317.49x = 56,047,370.90
  5. Step 5: Solve for x
    x = 56,047,370.90/6,317.49
  6. Step 6: Final answer
    x = 8,871.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.