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Finding the Fourth Proportional to 9,802.69, 14,702.49 and 8,147.44

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Solution

The fourth proportional to 9,802.69, 14,702.49 and 8,147.44 is: 12,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.69 : 14,702.49 = 8,147.44 : x
  2. Step 2: Convert to fraction form
    9,802.69/14,702.49 = 8,147.44/x
  3. Step 3: Cross multiply
    9,802.69x = 14,702.49 × 8,147.44
  4. Step 4: Simplify right side
    9,802.69x = 119,787,655.13
  5. Step 5: Solve for x
    x = 119,787,655.13/9,802.69
  6. Step 6: Final answer
    x = 12,219.88

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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.