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Finding the Fourth Proportional to 8,286.41, 12,351 and 7,654.41

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Solution

The fourth proportional to 8,286.41, 12,351 and 7,654.41 is: 11,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.41 : 12,351 = 7,654.41 : x
  2. Step 2: Convert to fraction form
    8,286.41/12,351 = 7,654.41/x
  3. Step 3: Cross multiply
    8,286.41x = 12,351 × 7,654.41
  4. Step 4: Simplify right side
    8,286.41x = 94,539,617.91
  5. Step 5: Solve for x
    x = 94,539,617.91/8,286.41
  6. Step 6: Final answer
    x = 11,409.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.