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Finding the Fourth Proportional to 8,133.52, 12,200.30 and 1,977.52

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Solution

The fourth proportional to 8,133.52, 12,200.30 and 1,977.52 is: 2,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.52 : 12,200.30 = 1,977.52 : x
  2. Step 2: Convert to fraction form
    8,133.52/12,200.30 = 1,977.52/x
  3. Step 3: Cross multiply
    8,133.52x = 12,200.30 × 1,977.52
  4. Step 4: Simplify right side
    8,133.52x = 24,126,337.26
  5. Step 5: Solve for x
    x = 24,126,337.26/8,133.52
  6. Step 6: Final answer
    x = 2,966.28

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Similar ratio
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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.