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Finding the Fourth Proportional to 12,064.57, 18,103.02 and 5,746.60

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Solution

The fourth proportional to 12,064.57, 18,103.02 and 5,746.60 is: 8,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.57 : 18,103.02 = 5,746.60 : x
  2. Step 2: Convert to fraction form
    12,064.57/18,103.02 = 5,746.60/x
  3. Step 3: Cross multiply
    12,064.57x = 18,103.02 × 5,746.60
  4. Step 4: Simplify right side
    12,064.57x = 104,030,769.47
  5. Step 5: Solve for x
    x = 104,030,769.47/12,064.57
  6. Step 6: Final answer
    x = 8,622.83

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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.