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Finding the Fourth Proportional to 8,456.40, 12,691.80 and 3,783.60

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Solution

The fourth proportional to 8,456.40, 12,691.80 and 3,783.60 is: 5,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.40 : 12,691.80 = 3,783.60 : x
  2. Step 2: Convert to fraction form
    8,456.40/12,691.80 = 3,783.60/x
  3. Step 3: Cross multiply
    8,456.40x = 12,691.80 × 3,783.60
  4. Step 4: Simplify right side
    8,456.40x = 48,020,694.48
  5. Step 5: Solve for x
    x = 48,020,694.48/8,456.40
  6. Step 6: Final answer
    x = 5,678.62

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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.