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Finding the Fourth Proportional to 4,657.68, 6,986.61 and 3,728.93

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Solution

The fourth proportional to 4,657.68, 6,986.61 and 3,728.93 is: 5,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.68 : 6,986.61 = 3,728.93 : x
  2. Step 2: Convert to fraction form
    4,657.68/6,986.61 = 3,728.93/x
  3. Step 3: Cross multiply
    4,657.68x = 6,986.61 × 3,728.93
  4. Step 4: Simplify right side
    4,657.68x = 26,052,544.69
  5. Step 5: Solve for x
    x = 26,052,544.69/4,657.68
  6. Step 6: Final answer
    x = 5,593.46

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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.