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Finding the Fourth Proportional to 6,484.94, 8,947.14 and 3,833.24

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Solution

The fourth proportional to 6,484.94, 8,947.14 and 3,833.24 is: 5,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.94 : 8,947.14 = 3,833.24 : x
  2. Step 2: Convert to fraction form
    6,484.94/8,947.14 = 3,833.24/x
  3. Step 3: Cross multiply
    6,484.94x = 8,947.14 × 3,833.24
  4. Step 4: Simplify right side
    6,484.94x = 34,296,534.93
  5. Step 5: Solve for x
    x = 34,296,534.93/6,484.94
  6. Step 6: Final answer
    x = 5,288.64

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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.