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Finding the Fourth Proportional to 8,713.70, 12,008.49 and 8,584.10

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Solution

The fourth proportional to 8,713.70, 12,008.49 and 8,584.10 is: 11,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.70 : 12,008.49 = 8,584.10 : x
  2. Step 2: Convert to fraction form
    8,713.70/12,008.49 = 8,584.10/x
  3. Step 3: Cross multiply
    8,713.70x = 12,008.49 × 8,584.10
  4. Step 4: Simplify right side
    8,713.70x = 103,082,079.01
  5. Step 5: Solve for x
    x = 103,082,079.01/8,713.70
  6. Step 6: Final answer
    x = 11,829.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.