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Finding the Fourth Proportional to 13,084, 19,615.06 and 6,069.02

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Solution

The fourth proportional to 13,084, 19,615.06 and 6,069.02 is: 9,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084 : 19,615.06 = 6,069.02 : x
  2. Step 2: Convert to fraction form
    13,084/19,615.06 = 6,069.02/x
  3. Step 3: Cross multiply
    13,084x = 19,615.06 × 6,069.02
  4. Step 4: Simplify right side
    13,084x = 119,044,191.44
  5. Step 5: Solve for x
    x = 119,044,191.44/13,084
  6. Step 6: Final answer
    x = 9,098.46

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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.