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Finding the Fourth Proportional to 6,487.72, 8,949.84 and 3,833.84

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Solution

The fourth proportional to 6,487.72, 8,949.84 and 3,833.84 is: 5,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.72 : 8,949.84 = 3,833.84 : x
  2. Step 2: Convert to fraction form
    6,487.72/8,949.84 = 3,833.84/x
  3. Step 3: Cross multiply
    6,487.72x = 8,949.84 × 3,833.84
  4. Step 4: Simplify right side
    6,487.72x = 34,312,254.59
  5. Step 5: Solve for x
    x = 34,312,254.59/6,487.72
  6. Step 6: Final answer
    x = 5,288.80

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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.