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Finding the Fourth Proportional to 7,847.75, 10,829.84 and 4,703.94

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Solution

The fourth proportional to 7,847.75, 10,829.84 and 4,703.94 is: 6,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.75 : 10,829.84 = 4,703.94 : x
  2. Step 2: Convert to fraction form
    7,847.75/10,829.84 = 4,703.94/x
  3. Step 3: Cross multiply
    7,847.75x = 10,829.84 × 4,703.94
  4. Step 4: Simplify right side
    7,847.75x = 50,942,917.57
  5. Step 5: Solve for x
    x = 50,942,917.57/7,847.75
  6. Step 6: Final answer
    x = 6,491.40

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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.