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Finding the Fourth Proportional to 18,527.94, 27,783 and 8,658.90

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Solution

The fourth proportional to 18,527.94, 27,783 and 8,658.90 is: 12,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.94 : 27,783 = 8,658.90 : x
  2. Step 2: Convert to fraction form
    18,527.94/27,783 = 8,658.90/x
  3. Step 3: Cross multiply
    18,527.94x = 27,783 × 8,658.90
  4. Step 4: Simplify right side
    18,527.94x = 240,570,218.70
  5. Step 5: Solve for x
    x = 240,570,218.70/18,527.94
  6. Step 6: Final answer
    x = 12,984.19

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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.