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Finding the Fourth Proportional to 8,240.40, 11,372.40 and 5,097.60

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Solution

The fourth proportional to 8,240.40, 11,372.40 and 5,097.60 is: 7,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.40 : 11,372.40 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    8,240.40/11,372.40 = 5,097.60/x
  3. Step 3: Cross multiply
    8,240.40x = 11,372.40 × 5,097.60
  4. Step 4: Simplify right side
    8,240.40x = 57,971,946.24
  5. Step 5: Solve for x
    x = 57,971,946.24/8,240.40
  6. Step 6: Final answer
    x = 7,035.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.