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Finding the Fourth Proportional to 8,194.47, 12,291.70 and 2,038.47

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Solution

The fourth proportional to 8,194.47, 12,291.70 and 2,038.47 is: 3,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.47 : 12,291.70 = 2,038.47 : x
  2. Step 2: Convert to fraction form
    8,194.47/12,291.70 = 2,038.47/x
  3. Step 3: Cross multiply
    8,194.47x = 12,291.70 × 2,038.47
  4. Step 4: Simplify right side
    8,194.47x = 25,056,200.24
  5. Step 5: Solve for x
    x = 25,056,200.24/8,194.47
  6. Step 6: Final answer
    x = 3,057.70

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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.