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Finding the Fourth Proportional to 8,996.52, 13,489.54 and 3,071.42

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Solution

The fourth proportional to 8,996.52, 13,489.54 and 3,071.42 is: 4,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.52 : 13,489.54 = 3,071.42 : x
  2. Step 2: Convert to fraction form
    8,996.52/13,489.54 = 3,071.42/x
  3. Step 3: Cross multiply
    8,996.52x = 13,489.54 × 3,071.42
  4. Step 4: Simplify right side
    8,996.52x = 41,432,018.41
  5. Step 5: Solve for x
    x = 41,432,018.41/8,996.52
  6. Step 6: Final answer
    x = 4,605.34

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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.