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Finding the Fourth Proportional to 8,495.36, 12,742.41 and 3,564.80

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Solution

The fourth proportional to 8,495.36, 12,742.41 and 3,564.80 is: 5,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.36 : 12,742.41 = 3,564.80 : x
  2. Step 2: Convert to fraction form
    8,495.36/12,742.41 = 3,564.80/x
  3. Step 3: Cross multiply
    8,495.36x = 12,742.41 × 3,564.80
  4. Step 4: Simplify right side
    8,495.36x = 45,424,143.17
  5. Step 5: Solve for x
    x = 45,424,143.17/8,495.36
  6. Step 6: Final answer
    x = 5,346.94

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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.