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Finding the Fourth Proportional to 6,497.94, 8,961.27 and 4,259.01

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Solution

The fourth proportional to 6,497.94, 8,961.27 and 4,259.01 is: 5,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.94 : 8,961.27 = 4,259.01 : x
  2. Step 2: Convert to fraction form
    6,497.94/8,961.27 = 4,259.01/x
  3. Step 3: Cross multiply
    6,497.94x = 8,961.27 × 4,259.01
  4. Step 4: Simplify right side
    6,497.94x = 38,166,138.54
  5. Step 5: Solve for x
    x = 38,166,138.54/6,497.94
  6. Step 6: Final answer
    x = 5,873.58

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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.