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Finding the Fourth Proportional to 6,296.40, 9,400.68 and 5,674.32

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Solution

The fourth proportional to 6,296.40, 9,400.68 and 5,674.32 is: 8,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 9,400.68 = 5,674.32 : x
  2. Step 2: Convert to fraction form
    6,296.40/9,400.68 = 5,674.32/x
  3. Step 3: Cross multiply
    6,296.40x = 9,400.68 × 5,674.32
  4. Step 4: Simplify right side
    6,296.40x = 53,342,466.54
  5. Step 5: Solve for x
    x = 53,342,466.54/6,296.40
  6. Step 6: Final answer
    x = 8,471.90

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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.