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Finding the Fourth Proportional to 12,383.80, 18,575.70 and 6,854.20

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Solution

The fourth proportional to 12,383.80, 18,575.70 and 6,854.20 is: 10,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.80 : 18,575.70 = 6,854.20 : x
  2. Step 2: Convert to fraction form
    12,383.80/18,575.70 = 6,854.20/x
  3. Step 3: Cross multiply
    12,383.80x = 18,575.70 × 6,854.20
  4. Step 4: Simplify right side
    12,383.80x = 127,321,562.94
  5. Step 5: Solve for x
    x = 127,321,562.94/12,383.80
  6. Step 6: Final answer
    x = 10,281.30

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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.