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Finding the Fourth Proportional to 6,685.46, 10,029.54 and 4,606.46

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Solution

The fourth proportional to 6,685.46, 10,029.54 and 4,606.46 is: 6,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.46 : 10,029.54 = 4,606.46 : x
  2. Step 2: Convert to fraction form
    6,685.46/10,029.54 = 4,606.46/x
  3. Step 3: Cross multiply
    6,685.46x = 10,029.54 × 4,606.46
  4. Step 4: Simplify right side
    6,685.46x = 46,200,674.83
  5. Step 5: Solve for x
    x = 46,200,674.83/6,685.46
  6. Step 6: Final answer
    x = 6,910.62

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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.