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Finding the Fourth Proportional to 5,659.48, 8,489.67 and 1,763.92

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Solution

The fourth proportional to 5,659.48, 8,489.67 and 1,763.92 is: 2,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.48 : 8,489.67 = 1,763.92 : x
  2. Step 2: Convert to fraction form
    5,659.48/8,489.67 = 1,763.92/x
  3. Step 3: Cross multiply
    5,659.48x = 8,489.67 × 1,763.92
  4. Step 4: Simplify right side
    5,659.48x = 14,975,098.71
  5. Step 5: Solve for x
    x = 14,975,098.71/5,659.48
  6. Step 6: Final answer
    x = 2,646.02

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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.