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Finding the Fourth Proportional to 7,802.60, 11,690.94 and 5,489.24

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Solution

The fourth proportional to 7,802.60, 11,690.94 and 5,489.24 is: 8,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.60 : 11,690.94 = 5,489.24 : x
  2. Step 2: Convert to fraction form
    7,802.60/11,690.94 = 5,489.24/x
  3. Step 3: Cross multiply
    7,802.60x = 11,690.94 × 5,489.24
  4. Step 4: Simplify right side
    7,802.60x = 64,174,375.49
  5. Step 5: Solve for x
    x = 64,174,375.49/7,802.60
  6. Step 6: Final answer
    x = 8,224.74

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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.