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Finding the Fourth Proportional to 6,497.40, 8,965.26 and 3,844.92

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Solution

The fourth proportional to 6,497.40, 8,965.26 and 3,844.92 is: 5,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.40 : 8,965.26 = 3,844.92 : x
  2. Step 2: Convert to fraction form
    6,497.40/8,965.26 = 3,844.92/x
  3. Step 3: Cross multiply
    6,497.40x = 8,965.26 × 3,844.92
  4. Step 4: Simplify right side
    6,497.40x = 34,470,707.48
  5. Step 5: Solve for x
    x = 34,470,707.48/6,497.40
  6. Step 6: Final answer
    x = 5,305.31

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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.