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Finding the Fourth Proportional to 4,657.59, 6,986.21 and 1,579.59

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Solution

The fourth proportional to 4,657.59, 6,986.21 and 1,579.59 is: 2,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.59 : 6,986.21 = 1,579.59 : x
  2. Step 2: Convert to fraction form
    4,657.59/6,986.21 = 1,579.59/x
  3. Step 3: Cross multiply
    4,657.59x = 6,986.21 × 1,579.59
  4. Step 4: Simplify right side
    4,657.59x = 11,035,339.56
  5. Step 5: Solve for x
    x = 11,035,339.56/4,657.59
  6. Step 6: Final answer
    x = 2,369.32

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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.