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Finding the Fourth Proportional to 6,483.94, 9,725.85 and 2,783.77

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Solution

The fourth proportional to 6,483.94, 9,725.85 and 2,783.77 is: 4,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.94 : 9,725.85 = 2,783.77 : x
  2. Step 2: Convert to fraction form
    6,483.94/9,725.85 = 2,783.77/x
  3. Step 3: Cross multiply
    6,483.94x = 9,725.85 × 2,783.77
  4. Step 4: Simplify right side
    6,483.94x = 27,074,529.45
  5. Step 5: Solve for x
    x = 27,074,529.45/6,483.94
  6. Step 6: Final answer
    x = 4,175.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.