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Finding the Fourth Proportional to 7,829.03, 10,803.87 and 4,471.85

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Solution

The fourth proportional to 7,829.03, 10,803.87 and 4,471.85 is: 6,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.03 : 10,803.87 = 4,471.85 : x
  2. Step 2: Convert to fraction form
    7,829.03/10,803.87 = 4,471.85/x
  3. Step 3: Cross multiply
    7,829.03x = 10,803.87 × 4,471.85
  4. Step 4: Simplify right side
    7,829.03x = 48,313,232.04
  5. Step 5: Solve for x
    x = 48,313,232.04/7,829.03
  6. Step 6: Final answer
    x = 6,171.04

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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.