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Finding the Fourth Proportional to 6,141.04, 8,471.92 and 4,809.40

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Solution

The fourth proportional to 6,141.04, 8,471.92 and 4,809.40 is: 6,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.04 : 8,471.92 = 4,809.40 : x
  2. Step 2: Convert to fraction form
    6,141.04/8,471.92 = 4,809.40/x
  3. Step 3: Cross multiply
    6,141.04x = 8,471.92 × 4,809.40
  4. Step 4: Simplify right side
    6,141.04x = 40,744,852.05
  5. Step 5: Solve for x
    x = 40,744,852.05/6,141.04
  6. Step 6: Final answer
    x = 6,634.85

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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.