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Finding the Fourth Proportional to 8,522.61, 11,764.40 and 4,986.96

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Solution

The fourth proportional to 8,522.61, 11,764.40 and 4,986.96 is: 6,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.61 : 11,764.40 = 4,986.96 : x
  2. Step 2: Convert to fraction form
    8,522.61/11,764.40 = 4,986.96/x
  3. Step 3: Cross multiply
    8,522.61x = 11,764.40 × 4,986.96
  4. Step 4: Simplify right side
    8,522.61x = 58,668,592.22
  5. Step 5: Solve for x
    x = 58,668,592.22/8,522.61
  6. Step 6: Final answer
    x = 6,883.88

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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.