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Finding the Fourth Proportional to 8,097.60, 12,142.80 and 3,716.48

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Solution

The fourth proportional to 8,097.60, 12,142.80 and 3,716.48 is: 5,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 12,142.80 = 3,716.48 : x
  2. Step 2: Convert to fraction form
    8,097.60/12,142.80 = 3,716.48/x
  3. Step 3: Cross multiply
    8,097.60x = 12,142.80 × 3,716.48
  4. Step 4: Simplify right side
    8,097.60x = 45,128,473.34
  5. Step 5: Solve for x
    x = 45,128,473.34/8,097.60
  6. Step 6: Final answer
    x = 5,573.07

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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.